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Finding the Fourth Proportional to 181,209.40, 271,641.30 and 141,206.20

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Solution

The fourth proportional to 181,209.40, 271,641.30 and 141,206.20 is: 211,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,209.40 : 271,641.30 = 141,206.20 : x
  2. Step 2: Convert to fraction form
    181,209.40/271,641.30 = 141,206.20/x
  3. Step 3: Cross multiply
    181,209.40x = 271,641.30 × 141,206.20
  4. Step 4: Simplify right side
    181,209.40x = 38,357,435,736.06
  5. Step 5: Solve for x
    x = 38,357,435,736.06/181,209.40
  6. Step 6: Final answer
    x = 211,674.65

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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.