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Finding the Fourth Proportional to 312,759.25, 468,961.13 and 123,116.92

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Solution

The fourth proportional to 312,759.25, 468,961.13 and 123,116.92 is: 184,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,759.25 : 468,961.13 = 123,116.92 : x
  2. Step 2: Convert to fraction form
    312,759.25/468,961.13 = 123,116.92/x
  3. Step 3: Cross multiply
    312,759.25x = 468,961.13 × 123,116.92
  4. Step 4: Simplify right side
    312,759.25x = 57,737,049,060.71
  5. Step 5: Solve for x
    x = 57,737,049,060.71/312,759.25
  6. Step 6: Final answer
    x = 184,605.41

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1.5x scale

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.