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Finding the Fourth Proportional to 144,973.59, 200,057.20 and 87,626.80

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Solution

The fourth proportional to 144,973.59, 200,057.20 and 87,626.80 is: 120,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,973.59 : 200,057.20 = 87,626.80 : x
  2. Step 2: Convert to fraction form
    144,973.59/200,057.20 = 87,626.80/x
  3. Step 3: Cross multiply
    144,973.59x = 200,057.20 × 87,626.80
  4. Step 4: Simplify right side
    144,973.59x = 17,530,372,252.96
  5. Step 5: Solve for x
    x = 17,530,372,252.96/144,973.59
  6. Step 6: Final answer
    x = 120,921.14

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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.