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Finding the Fourth Proportional to 135,357, 186,877.38 and 86,978.52

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Solution

The fourth proportional to 135,357, 186,877.38 and 86,978.52 is: 120,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,357 : 186,877.38 = 86,978.52 : x
  2. Step 2: Convert to fraction form
    135,357/186,877.38 = 86,978.52/x
  3. Step 3: Cross multiply
    135,357x = 186,877.38 × 86,978.52
  4. Step 4: Simplify right side
    135,357x = 16,254,317,933.88
  5. Step 5: Solve for x
    x = 16,254,317,933.88/135,357
  6. Step 6: Final answer
    x = 120,084.80

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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.