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Finding the Fourth Proportional to 282,713.20, 424,069.80 and 95,724.70

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Solution

The fourth proportional to 282,713.20, 424,069.80 and 95,724.70 is: 143,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,713.20 : 424,069.80 = 95,724.70 : x
  2. Step 2: Convert to fraction form
    282,713.20/424,069.80 = 95,724.70/x
  3. Step 3: Cross multiply
    282,713.20x = 424,069.80 × 95,724.70
  4. Step 4: Simplify right side
    282,713.20x = 40,593,954,384.06
  5. Step 5: Solve for x
    x = 40,593,954,384.06/282,713.20
  6. Step 6: Final answer
    x = 143,587.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.