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Finding the Fourth Proportional to 115,833.96, 159,843.44 and 64,838.12

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Solution

The fourth proportional to 115,833.96, 159,843.44 and 64,838.12 is: 89,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,833.96 : 159,843.44 = 64,838.12 : x
  2. Step 2: Convert to fraction form
    115,833.96/159,843.44 = 64,838.12/x
  3. Step 3: Cross multiply
    115,833.96x = 159,843.44 × 64,838.12
  4. Step 4: Simplify right side
    115,833.96x = 10,363,947,506.81
  5. Step 5: Solve for x
    x = 10,363,947,506.81/115,833.96
  6. Step 6: Final answer
    x = 89,472.44

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1.5x scale

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.