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Finding the Fourth Proportional to 107,047.65, 160,377.08 and 65,446.05

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Solution

The fourth proportional to 107,047.65, 160,377.08 and 65,446.05 is: 98,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,047.65 : 160,377.08 = 65,446.05 : x
  2. Step 2: Convert to fraction form
    107,047.65/160,377.08 = 65,446.05/x
  3. Step 3: Cross multiply
    107,047.65x = 160,377.08 × 65,446.05
  4. Step 4: Simplify right side
    107,047.65x = 10,496,046,069.30
  5. Step 5: Solve for x
    x = 10,496,046,069.30/107,047.65
  6. Step 6: Final answer
    x = 98,050.22

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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.