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Finding the Fourth Proportional to 181,210.32, 270,595.17 and 147,996.30

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Solution

The fourth proportional to 181,210.32, 270,595.17 and 147,996.30 is: 220,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,210.32 : 270,595.17 = 147,996.30 : x
  2. Step 2: Convert to fraction form
    181,210.32/270,595.17 = 147,996.30/x
  3. Step 3: Cross multiply
    181,210.32x = 270,595.17 × 147,996.30
  4. Step 4: Simplify right side
    181,210.32x = 40,047,083,957.87
  5. Step 5: Solve for x
    x = 40,047,083,957.87/181,210.32
  6. Step 6: Final answer
    x = 220,997.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.