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Finding the Fourth Proportional to 224,428.59, 309,711.29 and 123,826.59

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Solution

The fourth proportional to 224,428.59, 309,711.29 and 123,826.59 is: 170,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,428.59 : 309,711.29 = 123,826.59 : x
  2. Step 2: Convert to fraction form
    224,428.59/309,711.29 = 123,826.59/x
  3. Step 3: Cross multiply
    224,428.59x = 309,711.29 × 123,826.59
  4. Step 4: Simplify right side
    224,428.59x = 38,350,492,306.07
  5. Step 5: Solve for x
    x = 38,350,492,306.07/224,428.59
  6. Step 6: Final answer
    x = 170,880.60

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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.