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Finding the Fourth Proportional to 181,204.30, 271,806.45 and 153,210.70

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Solution

The fourth proportional to 181,204.30, 271,806.45 and 153,210.70 is: 229,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,204.30 : 271,806.45 = 153,210.70 : x
  2. Step 2: Convert to fraction form
    181,204.30/271,806.45 = 153,210.70/x
  3. Step 3: Cross multiply
    181,204.30x = 271,806.45 × 153,210.70
  4. Step 4: Simplify right side
    181,204.30x = 41,643,656,469.02
  5. Step 5: Solve for x
    x = 41,643,656,469.02/181,204.30
  6. Step 6: Final answer
    x = 229,816.05

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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.