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Finding the Fourth Proportional to 262,806.30, 394,123.05 and 96,572.70

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Solution

The fourth proportional to 262,806.30, 394,123.05 and 96,572.70 is: 144,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,806.30 : 394,123.05 = 96,572.70 : x
  2. Step 2: Convert to fraction form
    262,806.30/394,123.05 = 96,572.70/x
  3. Step 3: Cross multiply
    262,806.30x = 394,123.05 × 96,572.70
  4. Step 4: Simplify right side
    262,806.30x = 38,061,527,070.74
  5. Step 5: Solve for x
    x = 38,061,527,070.74/262,806.30
  6. Step 6: Final answer
    x = 144,827.30

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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.