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Finding the Fourth Proportional to 154,951.68, 213,822.72 and 86,960.64

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Solution

The fourth proportional to 154,951.68, 213,822.72 and 86,960.64 is: 119,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,951.68 : 213,822.72 = 86,960.64 : x
  2. Step 2: Convert to fraction form
    154,951.68/213,822.72 = 86,960.64/x
  3. Step 3: Cross multiply
    154,951.68x = 213,822.72 × 86,960.64
  4. Step 4: Simplify right side
    154,951.68x = 18,594,160,577.74
  5. Step 5: Solve for x
    x = 18,594,160,577.74/154,951.68
  6. Step 6: Final answer
    x = 119,999.74

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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.