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Finding the Fourth Proportional to 224,307.72, 309,523.14 and 123,699.24

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Solution

The fourth proportional to 224,307.72, 309,523.14 and 123,699.24 is: 170,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,307.72 : 309,523.14 = 123,699.24 : x
  2. Step 2: Convert to fraction form
    224,307.72/309,523.14 = 123,699.24/x
  3. Step 3: Cross multiply
    224,307.72x = 309,523.14 × 123,699.24
  4. Step 4: Simplify right side
    224,307.72x = 38,287,777,180.41
  5. Step 5: Solve for x
    x = 38,287,777,180.41/224,307.72
  6. Step 6: Final answer
    x = 170,693.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.