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Finding the Fourth Proportional to 151,850, 227,574.84 and 132,034.16

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Solution

The fourth proportional to 151,850, 227,574.84 and 132,034.16 is: 197,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,850 : 227,574.84 = 132,034.16 : x
  2. Step 2: Convert to fraction form
    151,850/227,574.84 = 132,034.16/x
  3. Step 3: Cross multiply
    151,850x = 227,574.84 × 132,034.16
  4. Step 4: Simplify right side
    151,850x = 30,047,652,836.53
  5. Step 5: Solve for x
    x = 30,047,652,836.53/151,850
  6. Step 6: Final answer
    x = 197,877.20

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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.