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Finding the Fourth Proportional to 82,595,872.80, 123,893,809.20 and 77,494,039.20

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Solution

The fourth proportional to 82,595,872.80, 123,893,809.20 and 77,494,039.20 is: 116,241,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,595,872.80 : 123,893,809.20 = 77,494,039.20 : x
  2. Step 2: Convert to fraction form
    82,595,872.80/123,893,809.20 = 77,494,039.20/x
  3. Step 3: Cross multiply
    82,595,872.80x = 123,893,809.20 × 77,494,039.20
  4. Step 4: Simplify right side
    82,595,872.80x = 9,601,031,706,782,122
  5. Step 5: Solve for x
    x = 9,601,031,706,782,122/82,595,872.80
  6. Step 6: Final answer
    x = 116,241,058.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.