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Finding the Fourth Proportional to 181,213.32, 270,599.65 and 147,999.30

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Solution

The fourth proportional to 181,213.32, 270,599.65 and 147,999.30 is: 221,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,213.32 : 270,599.65 = 147,999.30 : x
  2. Step 2: Convert to fraction form
    181,213.32/270,599.65 = 147,999.30/x
  3. Step 3: Cross multiply
    181,213.32x = 270,599.65 × 147,999.30
  4. Step 4: Simplify right side
    181,213.32x = 40,048,558,780.25
  5. Step 5: Solve for x
    x = 40,048,558,780.25/181,213.32
  6. Step 6: Final answer
    x = 221,002.29

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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.