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Finding the Fourth Proportional to 412,098.68, 618,236.82 and 127,783.52

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Solution

The fourth proportional to 412,098.68, 618,236.82 and 127,783.52 is: 191,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,098.68 : 618,236.82 = 127,783.52 : x
  2. Step 2: Convert to fraction form
    412,098.68/618,236.82 = 127,783.52/x
  3. Step 3: Cross multiply
    412,098.68x = 618,236.82 × 127,783.52
  4. Step 4: Simplify right side
    412,098.68x = 79,000,473,962.02
  5. Step 5: Solve for x
    x = 79,000,473,962.02/412,098.68
  6. Step 6: Final answer
    x = 191,702.81

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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.