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Finding the Fourth Proportional to 215,449.57, 322,566.76 and 114,017.88

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Solution

The fourth proportional to 215,449.57, 322,566.76 and 114,017.88 is: 170,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,449.57 : 322,566.76 = 114,017.88 : x
  2. Step 2: Convert to fraction form
    215,449.57/322,566.76 = 114,017.88/x
  3. Step 3: Cross multiply
    215,449.57x = 322,566.76 × 114,017.88
  4. Step 4: Simplify right side
    215,449.57x = 36,778,376,520.84
  5. Step 5: Solve for x
    x = 36,778,376,520.84/215,449.57
  6. Step 6: Final answer
    x = 170,705.27

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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.