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Finding the Fourth Proportional to 242,357.54, 363,702.38 and 84,586.00

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Solution

The fourth proportional to 242,357.54, 363,702.38 and 84,586.00 is: 126,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,357.54 : 363,702.38 = 84,586.00 : x
  2. Step 2: Convert to fraction form
    242,357.54/363,702.38 = 84,586.00/x
  3. Step 3: Cross multiply
    242,357.54x = 363,702.38 × 84,586.00
  4. Step 4: Simplify right side
    242,357.54x = 30,764,128,079.42
  5. Step 5: Solve for x
    x = 30,764,128,079.42/242,357.54
  6. Step 6: Final answer
    x = 126,936.95

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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.