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Finding the Fourth Proportional to 107,229.98, 160,680.92 and 57,317.16

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Solution

The fourth proportional to 107,229.98, 160,680.92 and 57,317.16 is: 85,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,229.98 : 160,680.92 = 57,317.16 : x
  2. Step 2: Convert to fraction form
    107,229.98/160,680.92 = 57,317.16/x
  3. Step 3: Cross multiply
    107,229.98x = 160,680.92 × 57,317.16
  4. Step 4: Simplify right side
    107,229.98x = 9,209,774,000.59
  5. Step 5: Solve for x
    x = 9,209,774,000.59/107,229.98
  6. Step 6: Final answer
    x = 85,888.05

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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.