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Finding the Fourth Proportional to 224,537.40, 309,861.42 and 123,935.16

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Solution

The fourth proportional to 224,537.40, 309,861.42 and 123,935.16 is: 171,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,537.40 : 309,861.42 = 123,935.16 : x
  2. Step 2: Convert to fraction form
    224,537.40/309,861.42 = 123,935.16/x
  3. Step 3: Cross multiply
    224,537.40x = 309,861.42 × 123,935.16
  4. Step 4: Simplify right side
    224,537.40x = 38,402,724,665.53
  5. Step 5: Solve for x
    x = 38,402,724,665.53/224,537.40
  6. Step 6: Final answer
    x = 171,030.41

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Why These Related Problems?

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