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Finding the Fourth Proportional to 132,430.40, 198,722.40 and 49,332.80

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Solution

The fourth proportional to 132,430.40, 198,722.40 and 49,332.80 is: 74,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,430.40 : 198,722.40 = 49,332.80 : x
  2. Step 2: Convert to fraction form
    132,430.40/198,722.40 = 49,332.80/x
  3. Step 3: Cross multiply
    132,430.40x = 198,722.40 × 49,332.80
  4. Step 4: Simplify right side
    132,430.40x = 9,803,532,414.72
  5. Step 5: Solve for x
    x = 9,803,532,414.72/132,430.40
  6. Step 6: Final answer
    x = 74,027.81

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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.