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Finding the Fourth Proportional to 135,200.32, 186,577.68 and 74,767.84

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Solution

The fourth proportional to 135,200.32, 186,577.68 and 74,767.84 is: 103,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.32 : 186,577.68 = 74,767.84 : x
  2. Step 2: Convert to fraction form
    135,200.32/186,577.68 = 74,767.84/x
  3. Step 3: Cross multiply
    135,200.32x = 186,577.68 × 74,767.84
  4. Step 4: Simplify right side
    135,200.32x = 13,950,010,125.81
  5. Step 5: Solve for x
    x = 13,950,010,125.81/135,200.32
  6. Step 6: Final answer
    x = 103,180.30

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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.