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Finding the Fourth Proportional to 123,566.59, 185,349.87 and 106,877.02

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Solution

The fourth proportional to 123,566.59, 185,349.87 and 106,877.02 is: 160,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,566.59 : 185,349.87 = 106,877.02 : x
  2. Step 2: Convert to fraction form
    123,566.59/185,349.87 = 106,877.02/x
  3. Step 3: Cross multiply
    123,566.59x = 185,349.87 × 106,877.02
  4. Step 4: Simplify right side
    123,566.59x = 19,809,641,762.99
  5. Step 5: Solve for x
    x = 19,809,641,762.99/123,566.59
  6. Step 6: Final answer
    x = 160,315.52

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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.