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Finding the Fourth Proportional to 153,825.56, 230,737.31 and 82,781.63

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Solution

The fourth proportional to 153,825.56, 230,737.31 and 82,781.63 is: 124,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,825.56 : 230,737.31 = 82,781.63 : x
  2. Step 2: Convert to fraction form
    153,825.56/230,737.31 = 82,781.63/x
  3. Step 3: Cross multiply
    153,825.56x = 230,737.31 × 82,781.63
  4. Step 4: Simplify right side
    153,825.56x = 19,100,809,056.02
  5. Step 5: Solve for x
    x = 19,100,809,056.02/153,825.56
  6. Step 6: Final answer
    x = 124,171.88

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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.