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Finding the Fourth Proportional to 262,807.70, 394,211.55 and 96,574.10

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Solution

The fourth proportional to 262,807.70, 394,211.55 and 96,574.10 is: 144,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807.70 : 394,211.55 = 96,574.10 : x
  2. Step 2: Convert to fraction form
    262,807.70/394,211.55 = 96,574.10/x
  3. Step 3: Cross multiply
    262,807.70x = 394,211.55 × 96,574.10
  4. Step 4: Simplify right side
    262,807.70x = 38,070,625,650.86
  5. Step 5: Solve for x
    x = 38,070,625,650.86/262,807.70
  6. Step 6: Final answer
    x = 144,861.15

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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.