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Finding the Fourth Proportional to 106,337.90, 159,468.45 and 53,729.90

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Solution

The fourth proportional to 106,337.90, 159,468.45 and 53,729.90 is: 80,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,337.90 : 159,468.45 = 53,729.90 : x
  2. Step 2: Convert to fraction form
    106,337.90/159,468.45 = 53,729.90/x
  3. Step 3: Cross multiply
    106,337.90x = 159,468.45 × 53,729.90
  4. Step 4: Simplify right side
    106,337.90x = 8,568,223,871.66
  5. Step 5: Solve for x
    x = 8,568,223,871.66/106,337.90
  6. Step 6: Final answer
    x = 80,575.45

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1.5x scale

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.