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Finding the Fourth Proportional to 144,395.95, 199,186.40 and 83,959.92

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Solution

The fourth proportional to 144,395.95, 199,186.40 and 83,959.92 is: 115,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,395.95 : 199,186.40 = 83,959.92 : x
  2. Step 2: Convert to fraction form
    144,395.95/199,186.40 = 83,959.92/x
  3. Step 3: Cross multiply
    144,395.95x = 199,186.40 × 83,959.92
  4. Step 4: Simplify right side
    144,395.95x = 16,723,673,213.16
  5. Step 5: Solve for x
    x = 16,723,673,213.16/144,395.95
  6. Step 6: Final answer
    x = 115,818.16

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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.