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Finding the Fourth Proportional to 242,854.52, 364,061.26 and 84,996.86

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Solution

The fourth proportional to 242,854.52, 364,061.26 and 84,996.86 is: 127,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,854.52 : 364,061.26 = 84,996.86 : x
  2. Step 2: Convert to fraction form
    242,854.52/364,061.26 = 84,996.86/x
  3. Step 3: Cross multiply
    242,854.52x = 364,061.26 × 84,996.86
  4. Step 4: Simplify right side
    242,854.52x = 30,944,063,947.64
  5. Step 5: Solve for x
    x = 30,944,063,947.64/242,854.52
  6. Step 6: Final answer
    x = 127,418.11

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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.