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Finding the Fourth Proportional to 123,676.59, 185,477.75 and 52,598.63

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Solution

The fourth proportional to 123,676.59, 185,477.75 and 52,598.63 is: 78,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,676.59 : 185,477.75 = 52,598.63 : x
  2. Step 2: Convert to fraction form
    123,676.59/185,477.75 = 52,598.63/x
  3. Step 3: Cross multiply
    123,676.59x = 185,477.75 × 52,598.63
  4. Step 4: Simplify right side
    123,676.59x = 9,755,875,943.43
  5. Step 5: Solve for x
    x = 9,755,875,943.43/123,676.59
  6. Step 6: Final answer
    x = 78,882.16

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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.