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Finding the Fourth Proportional to 105,886.14, 158,833.50 and 27,002.40

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Solution

The fourth proportional to 105,886.14, 158,833.50 and 27,002.40 is: 40,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,886.14 : 158,833.50 = 27,002.40 : x
  2. Step 2: Convert to fraction form
    105,886.14/158,833.50 = 27,002.40/x
  3. Step 3: Cross multiply
    105,886.14x = 158,833.50 × 27,002.40
  4. Step 4: Simplify right side
    105,886.14x = 4,288,885,700.40
  5. Step 5: Solve for x
    x = 4,288,885,700.40/105,886.14
  6. Step 6: Final answer
    x = 40,504.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.