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Finding the Fourth Proportional to 282,061.44, 423,001.44 and 148,865.04

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Solution

The fourth proportional to 282,061.44, 423,001.44 and 148,865.04 is: 223,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,061.44 : 423,001.44 = 148,865.04 : x
  2. Step 2: Convert to fraction form
    282,061.44/423,001.44 = 148,865.04/x
  3. Step 3: Cross multiply
    282,061.44x = 423,001.44 × 148,865.04
  4. Step 4: Simplify right side
    282,061.44x = 62,970,126,285.66
  5. Step 5: Solve for x
    x = 62,970,126,285.66/282,061.44
  6. Step 6: Final answer
    x = 223,249.68

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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.