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Finding the Fourth Proportional to 113,470.70, 170,206.05 and 106,472.30

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Solution

The fourth proportional to 113,470.70, 170,206.05 and 106,472.30 is: 159,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,470.70 : 170,206.05 = 106,472.30 : x
  2. Step 2: Convert to fraction form
    113,470.70/170,206.05 = 106,472.30/x
  3. Step 3: Cross multiply
    113,470.70x = 170,206.05 × 106,472.30
  4. Step 4: Simplify right side
    113,470.70x = 18,122,229,617.42
  5. Step 5: Solve for x
    x = 18,122,229,617.42/113,470.70
  6. Step 6: Final answer
    x = 159,708.45

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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.