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Finding the Fourth Proportional to 100,877.68, 151,180.44 and 38,514.16

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Solution

The fourth proportional to 100,877.68, 151,180.44 and 38,514.16 is: 57,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,877.68 : 151,180.44 = 38,514.16 : x
  2. Step 2: Convert to fraction form
    100,877.68/151,180.44 = 38,514.16/x
  3. Step 3: Cross multiply
    100,877.68x = 151,180.44 × 38,514.16
  4. Step 4: Simplify right side
    100,877.68x = 5,822,587,655.03
  5. Step 5: Solve for x
    x = 5,822,587,655.03/100,877.68
  6. Step 6: Final answer
    x = 57,719.29

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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.