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Finding the Fourth Proportional to 107,000.80, 160,501.20 and 75,896.80

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Solution

The fourth proportional to 107,000.80, 160,501.20 and 75,896.80 is: 113,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000.80 : 160,501.20 = 75,896.80 : x
  2. Step 2: Convert to fraction form
    107,000.80/160,501.20 = 75,896.80/x
  3. Step 3: Cross multiply
    107,000.80x = 160,501.20 × 75,896.80
  4. Step 4: Simplify right side
    107,000.80x = 12,181,527,476.16
  5. Step 5: Solve for x
    x = 12,181,527,476.16/107,000.80
  6. Step 6: Final answer
    x = 113,845.20

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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.