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Finding the Fourth Proportional to 144,602.16, 199,471.20 and 101,647.68

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Solution

The fourth proportional to 144,602.16, 199,471.20 and 101,647.68 is: 140,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,602.16 : 199,471.20 = 101,647.68 : x
  2. Step 2: Convert to fraction form
    144,602.16/199,471.20 = 101,647.68/x
  3. Step 3: Cross multiply
    144,602.16x = 199,471.20 × 101,647.68
  4. Step 4: Simplify right side
    144,602.16x = 20,275,784,706.82
  5. Step 5: Solve for x
    x = 20,275,784,706.82/144,602.16
  6. Step 6: Final answer
    x = 140,217.72

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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.