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Finding the Fourth Proportional to 147,439.71, 203,471.10 and 83,780.19

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Solution

The fourth proportional to 147,439.71, 203,471.10 and 83,780.19 is: 115,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,439.71 : 203,471.10 = 83,780.19 : x
  2. Step 2: Convert to fraction form
    147,439.71/203,471.10 = 83,780.19/x
  3. Step 3: Cross multiply
    147,439.71x = 203,471.10 × 83,780.19
  4. Step 4: Simplify right side
    147,439.71x = 17,046,847,417.51
  5. Step 5: Solve for x
    x = 17,046,847,417.51/147,439.71
  6. Step 6: Final answer
    x = 115,619.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.