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Finding the Fourth Proportional to 144,657.95, 199,630.02 and 83,402.91

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Solution

The fourth proportional to 144,657.95, 199,630.02 and 83,402.91 is: 115,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,657.95 : 199,630.02 = 83,402.91 : x
  2. Step 2: Convert to fraction form
    144,657.95/199,630.02 = 83,402.91/x
  3. Step 3: Cross multiply
    144,657.95x = 199,630.02 × 83,402.91
  4. Step 4: Simplify right side
    144,657.95x = 16,649,724,591.36
  5. Step 5: Solve for x
    x = 16,649,724,591.36/144,657.95
  6. Step 6: Final answer
    x = 115,097.20

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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.