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Finding the Fourth Proportional to 159,282.46, 219,784.59 and 91,286.34

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Solution

The fourth proportional to 159,282.46, 219,784.59 and 91,286.34 is: 125,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282.46 : 219,784.59 = 91,286.34 : x
  2. Step 2: Convert to fraction form
    159,282.46/219,784.59 = 91,286.34/x
  3. Step 3: Cross multiply
    159,282.46x = 219,784.59 × 91,286.34
  4. Step 4: Simplify right side
    159,282.46x = 20,063,330,809.50
  5. Step 5: Solve for x
    x = 20,063,330,809.50/159,282.46
  6. Step 6: Final answer
    x = 125,960.70

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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.