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Finding the Fourth Proportional to 230,824.94, 318,543.78 and 144,787.56

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Solution

The fourth proportional to 230,824.94, 318,543.78 and 144,787.56 is: 199,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,824.94 : 318,543.78 = 144,787.56 : x
  2. Step 2: Convert to fraction form
    230,824.94/318,543.78 = 144,787.56/x
  3. Step 3: Cross multiply
    230,824.94x = 318,543.78 × 144,787.56
  4. Step 4: Simplify right side
    230,824.94x = 46,121,176,659.38
  5. Step 5: Solve for x
    x = 46,121,176,659.38/230,824.94
  6. Step 6: Final answer
    x = 199,810.20

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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.