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Finding the Fourth Proportional to 131,616.32, 181,642.08 and 77,874.24

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Solution

The fourth proportional to 131,616.32, 181,642.08 and 77,874.24 is: 107,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,616.32 : 181,642.08 = 77,874.24 : x
  2. Step 2: Convert to fraction form
    131,616.32/181,642.08 = 77,874.24/x
  3. Step 3: Cross multiply
    131,616.32x = 181,642.08 × 77,874.24
  4. Step 4: Simplify right side
    131,616.32x = 14,145,238,932.02
  5. Step 5: Solve for x
    x = 14,145,238,932.02/131,616.32
  6. Step 6: Final answer
    x = 107,473.29

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