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Finding the Fourth Proportional to 295,705.08, 408,073.12 and 159,739.02

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Solution

The fourth proportional to 295,705.08, 408,073.12 and 159,739.02 is: 220,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.08 : 408,073.12 = 159,739.02 : x
  2. Step 2: Convert to fraction form
    295,705.08/408,073.12 = 159,739.02/x
  3. Step 3: Cross multiply
    295,705.08x = 408,073.12 × 159,739.02
  4. Step 4: Simplify right side
    295,705.08x = 65,185,200,277.14
  5. Step 5: Solve for x
    x = 65,185,200,277.14/295,705.08
  6. Step 6: Final answer
    x = 220,439.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.