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Finding the Fourth Proportional to 224,166.40, 309,344.64 and 123,564.16

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Solution

The fourth proportional to 224,166.40, 309,344.64 and 123,564.16 is: 170,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,166.40 : 309,344.64 = 123,564.16 : x
  2. Step 2: Convert to fraction form
    224,166.40/309,344.64 = 123,564.16/x
  3. Step 3: Cross multiply
    224,166.40x = 309,344.64 × 123,564.16
  4. Step 4: Simplify right side
    224,166.40x = 38,223,910,592.10
  5. Step 5: Solve for x
    x = 38,223,910,592.10/224,166.40
  6. Step 6: Final answer
    x = 170,515.79

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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.