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Finding the Fourth Proportional to 83,509.20, 115,175.68 and 73,416.16

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Solution

The fourth proportional to 83,509.20, 115,175.68 and 73,416.16 is: 101,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.20 : 115,175.68 = 73,416.16 : x
  2. Step 2: Convert to fraction form
    83,509.20/115,175.68 = 73,416.16/x
  3. Step 3: Cross multiply
    83,509.20x = 115,175.68 × 73,416.16
  4. Step 4: Simplify right side
    83,509.20x = 8,455,756,150.99
  5. Step 5: Solve for x
    x = 8,455,756,150.99/83,509.20
  6. Step 6: Final answer
    x = 101,255.38

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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.