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Finding the Fourth Proportional to 152,713.60, 229,243.20 and 90,419.20

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Solution

The fourth proportional to 152,713.60, 229,243.20 and 90,419.20 is: 135,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,713.60 : 229,243.20 = 90,419.20 : x
  2. Step 2: Convert to fraction form
    152,713.60/229,243.20 = 90,419.20/x
  3. Step 3: Cross multiply
    152,713.60x = 229,243.20 × 90,419.20
  4. Step 4: Simplify right side
    152,713.60x = 20,727,986,749.44
  5. Step 5: Solve for x
    x = 20,727,986,749.44/152,713.60
  6. Step 6: Final answer
    x = 135,731.11

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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.