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Finding the Fourth Proportional to 144,888.47, 199,951.28 and 84,449.38

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Solution

The fourth proportional to 144,888.47, 199,951.28 and 84,449.38 is: 116,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,888.47 : 199,951.28 = 84,449.38 : x
  2. Step 2: Convert to fraction form
    144,888.47/199,951.28 = 84,449.38/x
  3. Step 3: Cross multiply
    144,888.47x = 199,951.28 × 84,449.38
  4. Step 4: Simplify right side
    144,888.47x = 16,885,760,204.20
  5. Step 5: Solve for x
    x = 16,885,760,204.20/144,888.47
  6. Step 6: Final answer
    x = 116,543.16

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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.