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Finding the Fourth Proportional to 135,146.44, 186,502.50 and 75,530.44

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Solution

The fourth proportional to 135,146.44, 186,502.50 and 75,530.44 is: 104,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,146.44 : 186,502.50 = 75,530.44 : x
  2. Step 2: Convert to fraction form
    135,146.44/186,502.50 = 75,530.44/x
  3. Step 3: Cross multiply
    135,146.44x = 186,502.50 × 75,530.44
  4. Step 4: Simplify right side
    135,146.44x = 14,086,615,886.10
  5. Step 5: Solve for x
    x = 14,086,615,886.10/135,146.44
  6. Step 6: Final answer
    x = 104,232.24

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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.