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Finding the Fourth Proportional to 200,954.25, 301,341.06 and 144,558

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Solution

The fourth proportional to 200,954.25, 301,341.06 and 144,558 is: 216,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954.25 : 301,341.06 = 144,558 : x
  2. Step 2: Convert to fraction form
    200,954.25/301,341.06 = 144,558/x
  3. Step 3: Cross multiply
    200,954.25x = 301,341.06 × 144,558
  4. Step 4: Simplify right side
    200,954.25x = 43,561,260,951.48
  5. Step 5: Solve for x
    x = 43,561,260,951.48/200,954.25
  6. Step 6: Final answer
    x = 216,772.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.