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Finding the Fourth Proportional to 292,147.74, 438,217.02 and 149,910.93

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Solution

The fourth proportional to 292,147.74, 438,217.02 and 149,910.93 is: 224,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,147.74 : 438,217.02 = 149,910.93 : x
  2. Step 2: Convert to fraction form
    292,147.74/438,217.02 = 149,910.93/x
  3. Step 3: Cross multiply
    292,147.74x = 438,217.02 × 149,910.93
  4. Step 4: Simplify right side
    292,147.74x = 65,693,521,010.03
  5. Step 5: Solve for x
    x = 65,693,521,010.03/292,147.74
  6. Step 6: Final answer
    x = 224,864.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.