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Finding the Fourth Proportional to 224,478.71, 309,787.13 and 122,510.71

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Solution

The fourth proportional to 224,478.71, 309,787.13 and 122,510.71 is: 169,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,478.71 : 309,787.13 = 122,510.71 : x
  2. Step 2: Convert to fraction form
    224,478.71/309,787.13 = 122,510.71/x
  3. Step 3: Cross multiply
    224,478.71x = 309,787.13 × 122,510.71
  4. Step 4: Simplify right side
    224,478.71x = 37,952,241,938.67
  5. Step 5: Solve for x
    x = 37,952,241,938.67/224,478.71
  6. Step 6: Final answer
    x = 169,068.34

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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.