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Finding the Fourth Proportional to 135,502.86, 186,978.54 and 75,058.44

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Solution

The fourth proportional to 135,502.86, 186,978.54 and 75,058.44 is: 103,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,502.86 : 186,978.54 = 75,058.44 : x
  2. Step 2: Convert to fraction form
    135,502.86/186,978.54 = 75,058.44/x
  3. Step 3: Cross multiply
    135,502.86x = 186,978.54 × 75,058.44
  4. Step 4: Simplify right side
    135,502.86x = 14,034,317,525.88
  5. Step 5: Solve for x
    x = 14,034,317,525.88/135,502.86
  6. Step 6: Final answer
    x = 103,572.11

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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.