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Finding the Fourth Proportional to 224,545.74, 309,865.38 and 133,854.90

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Solution

The fourth proportional to 224,545.74, 309,865.38 and 133,854.90 is: 184,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,545.74 : 309,865.38 = 133,854.90 : x
  2. Step 2: Convert to fraction form
    224,545.74/309,865.38 = 133,854.90/x
  3. Step 3: Cross multiply
    224,545.74x = 309,865.38 × 133,854.90
  4. Step 4: Simplify right side
    224,545.74x = 41,476,999,453.36
  5. Step 5: Solve for x
    x = 41,476,999,453.36/224,545.74
  6. Step 6: Final answer
    x = 184,715.15

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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.