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Finding the Fourth Proportional to 224,004.57, 309,126.16 and 123,402.57

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Solution

The fourth proportional to 224,004.57, 309,126.16 and 123,402.57 is: 170,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,004.57 : 309,126.16 = 123,402.57 : x
  2. Step 2: Convert to fraction form
    224,004.57/309,126.16 = 123,402.57/x
  3. Step 3: Cross multiply
    224,004.57x = 309,126.16 × 123,402.57
  4. Step 4: Simplify right side
    224,004.57x = 38,146,962,598.23
  5. Step 5: Solve for x
    x = 38,146,962,598.23/224,004.57
  6. Step 6: Final answer
    x = 170,295.47

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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.