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Finding the Fourth Proportional to 144,766.32, 199,798.62 and 81,108.42

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Solution

The fourth proportional to 144,766.32, 199,798.62 and 81,108.42 is: 111,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,766.32 : 199,798.62 = 81,108.42 : x
  2. Step 2: Convert to fraction form
    144,766.32/199,798.62 = 81,108.42/x
  3. Step 3: Cross multiply
    144,766.32x = 199,798.62 × 81,108.42
  4. Step 4: Simplify right side
    144,766.32x = 16,205,350,386.38
  5. Step 5: Solve for x
    x = 16,205,350,386.38/144,766.32
  6. Step 6: Final answer
    x = 111,941.44

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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.