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Finding the Fourth Proportional to 109,913.80, 164,870.70 and 92,633.80

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Solution

The fourth proportional to 109,913.80, 164,870.70 and 92,633.80 is: 138,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913.80 : 164,870.70 = 92,633.80 : x
  2. Step 2: Convert to fraction form
    109,913.80/164,870.70 = 92,633.80/x
  3. Step 3: Cross multiply
    109,913.80x = 164,870.70 × 92,633.80
  4. Step 4: Simplify right side
    109,913.80x = 15,272,599,449.66
  5. Step 5: Solve for x
    x = 15,272,599,449.66/109,913.80
  6. Step 6: Final answer
    x = 138,950.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.