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Finding the Fourth Proportional to 242,367.41, 363,717.14 and 84,595.86

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Solution

The fourth proportional to 242,367.41, 363,717.14 and 84,595.86 is: 126,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,367.41 : 363,717.14 = 84,595.86 : x
  2. Step 2: Convert to fraction form
    242,367.41/363,717.14 = 84,595.86/x
  3. Step 3: Cross multiply
    242,367.41x = 363,717.14 × 84,595.86
  4. Step 4: Simplify right side
    242,367.41x = 30,768,963,832.06
  5. Step 5: Solve for x
    x = 30,768,963,832.06/242,367.41
  6. Step 6: Final answer
    x = 126,951.74

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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.