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Finding the Fourth Proportional to 144,972.59, 200,055.83 and 87,625.80

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Solution

The fourth proportional to 144,972.59, 200,055.83 and 87,625.80 is: 120,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,972.59 : 200,055.83 = 87,625.80 : x
  2. Step 2: Convert to fraction form
    144,972.59/200,055.83 = 87,625.80/x
  3. Step 3: Cross multiply
    144,972.59x = 200,055.83 × 87,625.80
  4. Step 4: Simplify right side
    144,972.59x = 17,530,051,710.29
  5. Step 5: Solve for x
    x = 17,530,051,710.29/144,972.59
  6. Step 6: Final answer
    x = 120,919.77

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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.