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Finding the Fourth Proportional to 100,293.16, 150,440.70 and 47,707.88

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Solution

The fourth proportional to 100,293.16, 150,440.70 and 47,707.88 is: 71,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,293.16 : 150,440.70 = 47,707.88 : x
  2. Step 2: Convert to fraction form
    100,293.16/150,440.70 = 47,707.88/x
  3. Step 3: Cross multiply
    100,293.16x = 150,440.70 × 47,707.88
  4. Step 4: Simplify right side
    100,293.16x = 7,177,206,862.72
  5. Step 5: Solve for x
    x = 7,177,206,862.72/100,293.16
  6. Step 6: Final answer
    x = 71,562.28

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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.