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Finding the Fourth Proportional to 105,338.54, 158,023.54 and 38,773.61

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Solution

The fourth proportional to 105,338.54, 158,023.54 and 38,773.61 is: 58,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,338.54 : 158,023.54 = 38,773.61 : x
  2. Step 2: Convert to fraction form
    105,338.54/158,023.54 = 38,773.61/x
  3. Step 3: Cross multiply
    105,338.54x = 158,023.54 × 38,773.61
  4. Step 4: Simplify right side
    105,338.54x = 6,127,142,739.50
  5. Step 5: Solve for x
    x = 6,127,142,739.50/105,338.54
  6. Step 6: Final answer
    x = 58,166.20

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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.