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Finding the Fourth Proportional to 295,065.57, 442,489.92 and 105,474.78

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Solution

The fourth proportional to 295,065.57, 442,489.92 and 105,474.78 is: 158,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,065.57 : 442,489.92 = 105,474.78 : x
  2. Step 2: Convert to fraction form
    295,065.57/442,489.92 = 105,474.78/x
  3. Step 3: Cross multiply
    295,065.57x = 442,489.92 × 105,474.78
  4. Step 4: Simplify right side
    295,065.57x = 46,671,526,964.22
  5. Step 5: Solve for x
    x = 46,671,526,964.22/295,065.57
  6. Step 6: Final answer
    x = 158,173.41

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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.