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Finding the Fourth Proportional to 100,501.13, 138,691.84 and 55,182.05

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Solution

The fourth proportional to 100,501.13, 138,691.84 and 55,182.05 is: 76,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,501.13 : 138,691.84 = 55,182.05 : x
  2. Step 2: Convert to fraction form
    100,501.13/138,691.84 = 55,182.05/x
  3. Step 3: Cross multiply
    100,501.13x = 138,691.84 × 55,182.05
  4. Step 4: Simplify right side
    100,501.13x = 7,653,300,465.18
  5. Step 5: Solve for x
    x = 7,653,300,465.18/100,501.13
  6. Step 6: Final answer
    x = 76,151.39

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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.