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Finding the Fourth Proportional to 107,077.80, 160,616.70 and 57,311.40

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Solution

The fourth proportional to 107,077.80, 160,616.70 and 57,311.40 is: 85,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,077.80 : 160,616.70 = 57,311.40 : x
  2. Step 2: Convert to fraction form
    107,077.80/160,616.70 = 57,311.40/x
  3. Step 3: Cross multiply
    107,077.80x = 160,616.70 × 57,311.40
  4. Step 4: Simplify right side
    107,077.80x = 9,205,167,940.38
  5. Step 5: Solve for x
    x = 9,205,167,940.38/107,077.80
  6. Step 6: Final answer
    x = 85,967.10

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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.