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Finding the Fourth Proportional to 115,857.38, 159,878.76 and 64,865.34

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Solution

The fourth proportional to 115,857.38, 159,878.76 and 64,865.34 is: 89,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857.38 : 159,878.76 = 64,865.34 : x
  2. Step 2: Convert to fraction form
    115,857.38/159,878.76 = 64,865.34/x
  3. Step 3: Cross multiply
    115,857.38x = 159,878.76 × 64,865.34
  4. Step 4: Simplify right side
    115,857.38x = 10,370,590,725.72
  5. Step 5: Solve for x
    x = 10,370,590,725.72/115,857.38
  6. Step 6: Final answer
    x = 89,511.70

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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.