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Finding the Fourth Proportional to 181,214.32, 270,601.14 and 148,000.30

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Solution

The fourth proportional to 181,214.32, 270,601.14 and 148,000.30 is: 221,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,214.32 : 270,601.14 = 148,000.30 : x
  2. Step 2: Convert to fraction form
    181,214.32/270,601.14 = 148,000.30/x
  3. Step 3: Cross multiply
    181,214.32x = 270,601.14 × 148,000.30
  4. Step 4: Simplify right side
    181,214.32x = 40,049,049,900.34
  5. Step 5: Solve for x
    x = 40,049,049,900.34/181,214.32
  6. Step 6: Final answer
    x = 221,003.78

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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.