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Finding the Fourth Proportional to 135,298.83, 186,738.80 and 81,592.59

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Solution

The fourth proportional to 135,298.83, 186,738.80 and 81,592.59 is: 112,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,298.83 : 186,738.80 = 81,592.59 : x
  2. Step 2: Convert to fraction form
    135,298.83/186,738.80 = 81,592.59/x
  3. Step 3: Cross multiply
    135,298.83x = 186,738.80 × 81,592.59
  4. Step 4: Simplify right side
    135,298.83x = 15,236,501,937.53
  5. Step 5: Solve for x
    x = 15,236,501,937.53/135,298.83
  6. Step 6: Final answer
    x = 112,613.70

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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.