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Finding the Fourth Proportional to 135,346.32, 186,773.14 and 74,917.08

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Solution

The fourth proportional to 135,346.32, 186,773.14 and 74,917.08 is: 103,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,346.32 : 186,773.14 = 74,917.08 : x
  2. Step 2: Convert to fraction form
    135,346.32/186,773.14 = 74,917.08/x
  3. Step 3: Cross multiply
    135,346.32x = 186,773.14 × 74,917.08
  4. Step 4: Simplify right side
    135,346.32x = 13,992,498,271.23
  5. Step 5: Solve for x
    x = 13,992,498,271.23/135,346.32
  6. Step 6: Final answer
    x = 103,382.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.