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Finding the Fourth Proportional to 144,877.80, 217,275.09 and 50,083.20

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Solution

The fourth proportional to 144,877.80, 217,275.09 and 50,083.20 is: 75,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,877.80 : 217,275.09 = 50,083.20 : x
  2. Step 2: Convert to fraction form
    144,877.80/217,275.09 = 50,083.20/x
  3. Step 3: Cross multiply
    144,877.80x = 217,275.09 × 50,083.20
  4. Step 4: Simplify right side
    144,877.80x = 10,881,831,787.49
  5. Step 5: Solve for x
    x = 10,881,831,787.49/144,877.80
  6. Step 6: Final answer
    x = 75,110.42

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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.