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Finding the Fourth Proportional to 205,535.49, 283,619.05 and 129,030.13

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Solution

The fourth proportional to 205,535.49, 283,619.05 and 129,030.13 is: 178,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535.49 : 283,619.05 = 129,030.13 : x
  2. Step 2: Convert to fraction form
    205,535.49/283,619.05 = 129,030.13/x
  3. Step 3: Cross multiply
    205,535.49x = 283,619.05 × 129,030.13
  4. Step 4: Simplify right side
    205,535.49x = 36,595,402,955.87
  5. Step 5: Solve for x
    x = 36,595,402,955.87/205,535.49
  6. Step 6: Final answer
    x = 178,049.07

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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.