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Finding the Fourth Proportional to 150,476.25, 225,995.35 and 132,470.86

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Solution

The fourth proportional to 150,476.25, 225,995.35 and 132,470.86 is: 198,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,476.25 : 225,995.35 = 132,470.86 : x
  2. Step 2: Convert to fraction form
    150,476.25/225,995.35 = 132,470.86/x
  3. Step 3: Cross multiply
    150,476.25x = 225,995.35 × 132,470.86
  4. Step 4: Simplify right side
    150,476.25x = 29,937,798,370.50
  5. Step 5: Solve for x
    x = 29,937,798,370.50/150,476.25
  6. Step 6: Final answer
    x = 198,953.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.