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Finding the Fourth Proportional to 159,838.64, 220,584.52 and 91,877.68

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Solution

The fourth proportional to 159,838.64, 220,584.52 and 91,877.68 is: 126,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838.64 : 220,584.52 = 91,877.68 : x
  2. Step 2: Convert to fraction form
    159,838.64/220,584.52 = 91,877.68/x
  3. Step 3: Cross multiply
    159,838.64x = 220,584.52 × 91,877.68
  4. Step 4: Simplify right side
    159,838.64x = 20,266,793,941.51
  5. Step 5: Solve for x
    x = 20,266,793,941.51/159,838.64
  6. Step 6: Final answer
    x = 126,795.34

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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.