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Finding the Fourth Proportional to 186,261.12, 257,340.96 and 129,924

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Solution

The fourth proportional to 186,261.12, 257,340.96 and 129,924 is: 179,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,261.12 : 257,340.96 = 129,924 : x
  2. Step 2: Convert to fraction form
    186,261.12/257,340.96 = 129,924/x
  3. Step 3: Cross multiply
    186,261.12x = 257,340.96 × 129,924
  4. Step 4: Simplify right side
    186,261.12x = 33,434,766,887.04
  5. Step 5: Solve for x
    x = 33,434,766,887.04/186,261.12
  6. Step 6: Final answer
    x = 179,504.81

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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.