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Finding the Fourth Proportional to 135,302.56, 186,714.73 and 74,873.16

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Solution

The fourth proportional to 135,302.56, 186,714.73 and 74,873.16 is: 103,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,302.56 : 186,714.73 = 74,873.16 : x
  2. Step 2: Convert to fraction form
    135,302.56/186,714.73 = 74,873.16/x
  3. Step 3: Cross multiply
    135,302.56x = 186,714.73 × 74,873.16
  4. Step 4: Simplify right side
    135,302.56x = 13,979,921,853.65
  5. Step 5: Solve for x
    x = 13,979,921,853.65/135,302.56
  6. Step 6: Final answer
    x = 103,323.41

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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.