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Finding the Fourth Proportional to 282,253.96, 389,510.28 and 159,744.10

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Solution

The fourth proportional to 282,253.96, 389,510.28 and 159,744.10 is: 220,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,253.96 : 389,510.28 = 159,744.10 : x
  2. Step 2: Convert to fraction form
    282,253.96/389,510.28 = 159,744.10/x
  3. Step 3: Cross multiply
    282,253.96x = 389,510.28 × 159,744.10
  4. Step 4: Simplify right side
    282,253.96x = 62,221,969,119.35
  5. Step 5: Solve for x
    x = 62,221,969,119.35/282,253.96
  6. Step 6: Final answer
    x = 220,446.75

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1.5x scale

Why These Related Problems?

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