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Finding the Fourth Proportional to 144,854.58, 199,908.54 and 81,192.38

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Solution

The fourth proportional to 144,854.58, 199,908.54 and 81,192.38 is: 112,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,854.58 : 199,908.54 = 81,192.38 : x
  2. Step 2: Convert to fraction form
    144,854.58/199,908.54 = 81,192.38/x
  3. Step 3: Cross multiply
    144,854.58x = 199,908.54 × 81,192.38
  4. Step 4: Simplify right side
    144,854.58x = 16,231,049,487.91
  5. Step 5: Solve for x
    x = 16,231,049,487.91/144,854.58
  6. Step 6: Final answer
    x = 112,050.65

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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.