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Finding the Fourth Proportional to 135,125.61, 186,454.31 and 77,743.14

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Solution

The fourth proportional to 135,125.61, 186,454.31 and 77,743.14 is: 107,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,125.61 : 186,454.31 = 77,743.14 : x
  2. Step 2: Convert to fraction form
    135,125.61/186,454.31 = 77,743.14/x
  3. Step 3: Cross multiply
    135,125.61x = 186,454.31 × 77,743.14
  4. Step 4: Simplify right side
    135,125.61x = 14,495,543,137.22
  5. Step 5: Solve for x
    x = 14,495,543,137.22/135,125.61
  6. Step 6: Final answer
    x = 107,274.58

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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.