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Finding the Fourth Proportional to 107,189.47, 147,910.80 and 61,882.08

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Solution

The fourth proportional to 107,189.47, 147,910.80 and 61,882.08 is: 85,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,189.47 : 147,910.80 = 61,882.08 : x
  2. Step 2: Convert to fraction form
    107,189.47/147,910.80 = 61,882.08/x
  3. Step 3: Cross multiply
    107,189.47x = 147,910.80 × 61,882.08
  4. Step 4: Simplify right side
    107,189.47x = 9,153,027,958.46
  5. Step 5: Solve for x
    x = 9,153,027,958.46/107,189.47
  6. Step 6: Final answer
    x = 85,391.11

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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.