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Finding the Fourth Proportional to 110,472.66, 152,458.77 and 83,200.63

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Solution

The fourth proportional to 110,472.66, 152,458.77 and 83,200.63 is: 114,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,472.66 : 152,458.77 = 83,200.63 : x
  2. Step 2: Convert to fraction form
    110,472.66/152,458.77 = 83,200.63/x
  3. Step 3: Cross multiply
    110,472.66x = 152,458.77 × 83,200.63
  4. Step 4: Simplify right side
    110,472.66x = 12,684,665,713.03
  5. Step 5: Solve for x
    x = 12,684,665,713.03/110,472.66
  6. Step 6: Final answer
    x = 114,821.76

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