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Finding the Fourth Proportional to 105,806.16, 158,710.19 and 26,920.31

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Solution

The fourth proportional to 105,806.16, 158,710.19 and 26,920.31 is: 40,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.16 : 158,710.19 = 26,920.31 : x
  2. Step 2: Convert to fraction form
    105,806.16/158,710.19 = 26,920.31/x
  3. Step 3: Cross multiply
    105,806.16x = 158,710.19 × 26,920.31
  4. Step 4: Simplify right side
    105,806.16x = 4,272,526,586.81
  5. Step 5: Solve for x
    x = 4,272,526,586.81/105,806.16
  6. Step 6: Final answer
    x = 40,380.70

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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.