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Finding the Fourth Proportional to 138,811.20, 208,063.20 and 76,526.40

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Solution

The fourth proportional to 138,811.20, 208,063.20 and 76,526.40 is: 114,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.20 : 208,063.20 = 76,526.40 : x
  2. Step 2: Convert to fraction form
    138,811.20/208,063.20 = 76,526.40/x
  3. Step 3: Cross multiply
    138,811.20x = 208,063.20 × 76,526.40
  4. Step 4: Simplify right side
    138,811.20x = 15,922,327,668.48
  5. Step 5: Solve for x
    x = 15,922,327,668.48/138,811.20
  6. Step 6: Final answer
    x = 114,704.92

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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.