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Finding the Fourth Proportional to 158,314.32, 218,463.75 and 86,695.20

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Solution

The fourth proportional to 158,314.32, 218,463.75 and 86,695.20 is: 119,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,314.32 : 218,463.75 = 86,695.20 : x
  2. Step 2: Convert to fraction form
    158,314.32/218,463.75 = 86,695.20/x
  3. Step 3: Cross multiply
    158,314.32x = 218,463.75 × 86,695.20
  4. Step 4: Simplify right side
    158,314.32x = 18,939,758,499
  5. Step 5: Solve for x
    x = 18,939,758,499/158,314.32
  6. Step 6: Final answer
    x = 119,633.89

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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.