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Finding the Fourth Proportional to 261,892.80, 361,412.52 and 148,715.52

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Solution

The fourth proportional to 261,892.80, 361,412.52 and 148,715.52 is: 205,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892.80 : 361,412.52 = 148,715.52 : x
  2. Step 2: Convert to fraction form
    261,892.80/361,412.52 = 148,715.52/x
  3. Step 3: Cross multiply
    261,892.80x = 361,412.52 × 148,715.52
  4. Step 4: Simplify right side
    261,892.80x = 53,747,650,846.31
  5. Step 5: Solve for x
    x = 53,747,650,846.31/261,892.80
  6. Step 6: Final answer
    x = 205,227.68

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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.