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Finding the Fourth Proportional to 107,000.02, 160,524.35 and 57,053.78

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Solution

The fourth proportional to 107,000.02, 160,524.35 and 57,053.78 is: 85,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000.02 : 160,524.35 = 57,053.78 : x
  2. Step 2: Convert to fraction form
    107,000.02/160,524.35 = 57,053.78/x
  3. Step 3: Cross multiply
    107,000.02x = 160,524.35 × 57,053.78
  4. Step 4: Simplify right side
    107,000.02x = 9,158,520,949.54
  5. Step 5: Solve for x
    x = 9,158,520,949.54/107,000.02
  6. Step 6: Final answer
    x = 85,593.64

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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.