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Finding the Fourth Proportional to 110,197.76, 152,073.12 and 59,896.64

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Solution

The fourth proportional to 110,197.76, 152,073.12 and 59,896.64 is: 82,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,197.76 : 152,073.12 = 59,896.64 : x
  2. Step 2: Convert to fraction form
    110,197.76/152,073.12 = 59,896.64/x
  3. Step 3: Cross multiply
    110,197.76x = 152,073.12 × 59,896.64
  4. Step 4: Simplify right side
    110,197.76x = 9,108,668,922.32
  5. Step 5: Solve for x
    x = 9,108,668,922.32/110,197.76
  6. Step 6: Final answer
    x = 82,657.48

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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.