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Finding the Fourth Proportional to 150,598.75, 207,826.41 and 83,530.75

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Solution

The fourth proportional to 150,598.75, 207,826.41 and 83,530.75 is: 115,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,598.75 : 207,826.41 = 83,530.75 : x
  2. Step 2: Convert to fraction form
    150,598.75/207,826.41 = 83,530.75/x
  3. Step 3: Cross multiply
    150,598.75x = 207,826.41 × 83,530.75
  4. Step 4: Simplify right side
    150,598.75x = 17,359,895,897.11
  5. Step 5: Solve for x
    x = 17,359,895,897.11/150,598.75
  6. Step 6: Final answer
    x = 115,272.51

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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.