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Finding the Fourth Proportional to 105,920.64, 158,873.28 and 61,519.68

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Solution

The fourth proportional to 105,920.64, 158,873.28 and 61,519.68 is: 92,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920.64 : 158,873.28 = 61,519.68 : x
  2. Step 2: Convert to fraction form
    105,920.64/158,873.28 = 61,519.68/x
  3. Step 3: Cross multiply
    105,920.64x = 158,873.28 × 61,519.68
  4. Step 4: Simplify right side
    105,920.64x = 9,773,833,346.15
  5. Step 5: Solve for x
    x = 9,773,833,346.15/105,920.64
  6. Step 6: Final answer
    x = 92,275.06

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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.