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Finding the Fourth Proportional to 150,512.88, 207,717.14 and 83,444.88

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Solution

The fourth proportional to 150,512.88, 207,717.14 and 83,444.88 is: 115,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,512.88 : 207,717.14 = 83,444.88 : x
  2. Step 2: Convert to fraction form
    150,512.88/207,717.14 = 83,444.88/x
  3. Step 3: Cross multiply
    150,512.88x = 207,717.14 × 83,444.88
  4. Step 4: Simplify right side
    150,512.88x = 17,332,931,821.24
  5. Step 5: Solve for x
    x = 17,332,931,821.24/150,512.88
  6. Step 6: Final answer
    x = 115,159.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.