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Finding the Fourth Proportional to 144,797.14, 199,701.57 and 101,918.57

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Solution

The fourth proportional to 144,797.14, 199,701.57 and 101,918.57 is: 140,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,797.14 : 199,701.57 = 101,918.57 : x
  2. Step 2: Convert to fraction form
    144,797.14/199,701.57 = 101,918.57/x
  3. Step 3: Cross multiply
    144,797.14x = 199,701.57 × 101,918.57
  4. Step 4: Simplify right side
    144,797.14x = 20,353,298,441.15
  5. Step 5: Solve for x
    x = 20,353,298,441.15/144,797.14
  6. Step 6: Final answer
    x = 140,564.23

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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.