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Finding the Fourth Proportional to 105,654.70, 158,219.15 and 73,916.19

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Solution

The fourth proportional to 105,654.70, 158,219.15 and 73,916.19 is: 110,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654.70 : 158,219.15 = 73,916.19 : x
  2. Step 2: Convert to fraction form
    105,654.70/158,219.15 = 73,916.19/x
  3. Step 3: Cross multiply
    105,654.70x = 158,219.15 × 73,916.19
  4. Step 4: Simplify right side
    105,654.70x = 11,694,956,753.04
  5. Step 5: Solve for x
    x = 11,694,956,753.04/105,654.70
  6. Step 6: Final answer
    x = 110,690.36

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Why These Related Problems?

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