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Finding the Fourth Proportional to 107,385, 148,193.28 and 59,642.80

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Solution

The fourth proportional to 107,385, 148,193.28 and 59,642.80 is: 82,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,385 : 148,193.28 = 59,642.80 : x
  2. Step 2: Convert to fraction form
    107,385/148,193.28 = 59,642.80/x
  3. Step 3: Cross multiply
    107,385x = 148,193.28 × 59,642.80
  4. Step 4: Simplify right side
    107,385x = 8,838,662,160.38
  5. Step 5: Solve for x
    x = 8,838,662,160.38/107,385
  6. Step 6: Final answer
    x = 82,308.16

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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.