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Finding the Fourth Proportional to 100,678.96, 138,934.02 and 55,356.90

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Solution

The fourth proportional to 100,678.96, 138,934.02 and 55,356.90 is: 76,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.96 : 138,934.02 = 55,356.90 : x
  2. Step 2: Convert to fraction form
    100,678.96/138,934.02 = 55,356.90/x
  3. Step 3: Cross multiply
    100,678.96x = 138,934.02 × 55,356.90
  4. Step 4: Simplify right side
    100,678.96x = 7,690,956,651.74
  5. Step 5: Solve for x
    x = 7,690,956,651.74/100,678.96
  6. Step 6: Final answer
    x = 76,390.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.