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Finding the Fourth Proportional to 501,666.02, 752,404.39 and 141,834

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Solution

The fourth proportional to 501,666.02, 752,404.39 and 141,834 is: 212,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,666.02 : 752,404.39 = 141,834 : x
  2. Step 2: Convert to fraction form
    501,666.02/752,404.39 = 141,834/x
  3. Step 3: Cross multiply
    501,666.02x = 752,404.39 × 141,834
  4. Step 4: Simplify right side
    501,666.02x = 106,716,523,896.68
  5. Step 5: Solve for x
    x = 106,716,523,896.68/501,666.02
  6. Step 6: Final answer
    x = 212,724.24

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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.