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Finding the Fourth Proportional to 242,373.18, 363,516 and 84,646.74

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Solution

The fourth proportional to 242,373.18, 363,516 and 84,646.74 is: 126,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,373.18 : 363,516 = 84,646.74 : x
  2. Step 2: Convert to fraction form
    242,373.18/363,516 = 84,646.74/x
  3. Step 3: Cross multiply
    242,373.18x = 363,516 × 84,646.74
  4. Step 4: Simplify right side
    242,373.18x = 30,770,444,337.84
  5. Step 5: Solve for x
    x = 30,770,444,337.84/242,373.18
  6. Step 6: Final answer
    x = 126,954.82

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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.