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Finding the Fourth Proportional to 242,069.92, 363,114.60 and 84,314.32

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Solution

The fourth proportional to 242,069.92, 363,114.60 and 84,314.32 is: 126,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,069.92 : 363,114.60 = 84,314.32 : x
  2. Step 2: Convert to fraction form
    242,069.92/363,114.60 = 84,314.32/x
  3. Step 3: Cross multiply
    242,069.92x = 363,114.60 × 84,314.32
  4. Step 4: Simplify right side
    242,069.92x = 30,615,760,581.07
  5. Step 5: Solve for x
    x = 30,615,760,581.07/242,069.92
  6. Step 6: Final answer
    x = 126,474.87

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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.