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Finding the Fourth Proportional to 242,634.32, 363,947.16 and 102,394.16

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Solution

The fourth proportional to 242,634.32, 363,947.16 and 102,394.16 is: 153,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,634.32 : 363,947.16 = 102,394.16 : x
  2. Step 2: Convert to fraction form
    242,634.32/363,947.16 = 102,394.16/x
  3. Step 3: Cross multiply
    242,634.32x = 363,947.16 × 102,394.16
  4. Step 4: Simplify right side
    242,634.32x = 37,266,063,732.59
  5. Step 5: Solve for x
    x = 37,266,063,732.59/242,634.32
  6. Step 6: Final answer
    x = 153,589.42

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1.5x scale

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.