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Finding the Fourth Proportional to 131,538.32, 181,540.64 and 74,189.40

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Solution

The fourth proportional to 131,538.32, 181,540.64 and 74,189.40 is: 102,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,538.32 : 181,540.64 = 74,189.40 : x
  2. Step 2: Convert to fraction form
    131,538.32/181,540.64 = 74,189.40/x
  3. Step 3: Cross multiply
    131,538.32x = 181,540.64 × 74,189.40
  4. Step 4: Simplify right side
    131,538.32x = 13,468,391,157.22
  5. Step 5: Solve for x
    x = 13,468,391,157.22/131,538.32
  6. Step 6: Final answer
    x = 102,391.39

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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.