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Finding the Fourth Proportional to 107,713.60, 161,570.40 and 98,382.40

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Solution

The fourth proportional to 107,713.60, 161,570.40 and 98,382.40 is: 147,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,713.60 : 161,570.40 = 98,382.40 : x
  2. Step 2: Convert to fraction form
    107,713.60/161,570.40 = 98,382.40/x
  3. Step 3: Cross multiply
    107,713.60x = 161,570.40 × 98,382.40
  4. Step 4: Simplify right side
    107,713.60x = 15,895,683,720.96
  5. Step 5: Solve for x
    x = 15,895,683,720.96/107,713.60
  6. Step 6: Final answer
    x = 147,573.60

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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.