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Finding the Fourth Proportional to 150,597, 207,823.86 and 83,529

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Solution

The fourth proportional to 150,597, 207,823.86 and 83,529 is: 115,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,597 : 207,823.86 = 83,529 : x
  2. Step 2: Convert to fraction form
    150,597/207,823.86 = 83,529/x
  3. Step 3: Cross multiply
    150,597x = 207,823.86 × 83,529
  4. Step 4: Simplify right side
    150,597x = 17,359,319,201.94
  5. Step 5: Solve for x
    x = 17,359,319,201.94/150,597
  6. Step 6: Final answer
    x = 115,270.02

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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.