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Finding the Fourth Proportional to 224,545.33, 309,924.57 and 148,078.18

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Solution

The fourth proportional to 224,545.33, 309,924.57 and 148,078.18 is: 204,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,545.33 : 309,924.57 = 148,078.18 : x
  2. Step 2: Convert to fraction form
    224,545.33/309,924.57 = 148,078.18/x
  3. Step 3: Cross multiply
    224,545.33x = 309,924.57 × 148,078.18
  4. Step 4: Simplify right side
    224,545.33x = 45,893,066,262.88
  5. Step 5: Solve for x
    x = 45,893,066,262.88/224,545.33
  6. Step 6: Final answer
    x = 204,382.19

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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.