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Finding the Fourth Proportional to 295,812.80, 443,632.80 and 106,251.20

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Solution

The fourth proportional to 295,812.80, 443,632.80 and 106,251.20 is: 159,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,812.80 : 443,632.80 = 106,251.20 : x
  2. Step 2: Convert to fraction form
    295,812.80/443,632.80 = 106,251.20/x
  3. Step 3: Cross multiply
    295,812.80x = 443,632.80 × 106,251.20
  4. Step 4: Simplify right side
    295,812.80x = 47,136,517,359.36
  5. Step 5: Solve for x
    x = 47,136,517,359.36/295,812.80
  6. Step 6: Final answer
    x = 159,345.77

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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.