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Finding the Fourth Proportional to 282,959.20, 424,438.80 and 95,970.70

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Solution

The fourth proportional to 282,959.20, 424,438.80 and 95,970.70 is: 143,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,959.20 : 424,438.80 = 95,970.70 : x
  2. Step 2: Convert to fraction form
    282,959.20/424,438.80 = 95,970.70/x
  3. Step 3: Cross multiply
    282,959.20x = 424,438.80 × 95,970.70
  4. Step 4: Simplify right side
    282,959.20x = 40,733,688,743.16
  5. Step 5: Solve for x
    x = 40,733,688,743.16/282,959.20
  6. Step 6: Final answer
    x = 143,956.05

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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.