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Finding the Fourth Proportional to 109,323.78, 163,864.08 and 46,187.52

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Solution

The fourth proportional to 109,323.78, 163,864.08 and 46,187.52 is: 69,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,323.78 : 163,864.08 = 46,187.52 : x
  2. Step 2: Convert to fraction form
    109,323.78/163,864.08 = 46,187.52/x
  3. Step 3: Cross multiply
    109,323.78x = 163,864.08 × 46,187.52
  4. Step 4: Simplify right side
    109,323.78x = 7,568,475,472.28
  5. Step 5: Solve for x
    x = 7,568,475,472.28/109,323.78
  6. Step 6: Final answer
    x = 69,229.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.