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Finding the Fourth Proportional to 224,564.49, 309,885.84 and 122,569.74

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Solution

The fourth proportional to 224,564.49, 309,885.84 and 122,569.74 is: 169,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564.49 : 309,885.84 = 122,569.74 : x
  2. Step 2: Convert to fraction form
    224,564.49/309,885.84 = 122,569.74/x
  3. Step 3: Cross multiply
    224,564.49x = 309,885.84 × 122,569.74
  4. Step 4: Simplify right side
    224,564.49x = 37,982,626,838.48
  5. Step 5: Solve for x
    x = 37,982,626,838.48/224,564.49
  6. Step 6: Final answer
    x = 169,139.06

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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.