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Finding the Fourth Proportional to 100,836.38, 139,151.75 and 55,514.00

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Solution

The fourth proportional to 100,836.38, 139,151.75 and 55,514.00 is: 76,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,836.38 : 139,151.75 = 55,514.00 : x
  2. Step 2: Convert to fraction form
    100,836.38/139,151.75 = 55,514.00/x
  3. Step 3: Cross multiply
    100,836.38x = 139,151.75 × 55,514.00
  4. Step 4: Simplify right side
    100,836.38x = 7,724,869,276.17
  5. Step 5: Solve for x
    x = 7,724,869,276.17/100,836.38
  6. Step 6: Final answer
    x = 76,607.96

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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.