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Finding the Fourth Proportional to 295,684.80, 443,440.80 and 106,123.20

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Solution

The fourth proportional to 295,684.80, 443,440.80 and 106,123.20 is: 159,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,684.80 : 443,440.80 = 106,123.20 : x
  2. Step 2: Convert to fraction form
    295,684.80/443,440.80 = 106,123.20/x
  3. Step 3: Cross multiply
    295,684.80x = 443,440.80 × 106,123.20
  4. Step 4: Simplify right side
    295,684.80x = 47,059,356,706.56
  5. Step 5: Solve for x
    x = 47,059,356,706.56/295,684.80
  6. Step 6: Final answer
    x = 159,153.79

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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.