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Finding the Fourth Proportional to 135,139.66, 186,511.28 and 77,777.82

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Solution

The fourth proportional to 135,139.66, 186,511.28 and 77,777.82 is: 107,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139.66 : 186,511.28 = 77,777.82 : x
  2. Step 2: Convert to fraction form
    135,139.66/186,511.28 = 77,777.82/x
  3. Step 3: Cross multiply
    135,139.66x = 186,511.28 × 77,777.82
  4. Step 4: Simplify right side
    135,139.66x = 14,506,440,374.92
  5. Step 5: Solve for x
    x = 14,506,440,374.92/135,139.66
  6. Step 6: Final answer
    x = 107,344.07

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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.