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Finding the Fourth Proportional to 100,559.48, 150,787.58 and 53,200.13

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Solution

The fourth proportional to 100,559.48, 150,787.58 and 53,200.13 is: 79,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,559.48 : 150,787.58 = 53,200.13 : x
  2. Step 2: Convert to fraction form
    100,559.48/150,787.58 = 53,200.13/x
  3. Step 3: Cross multiply
    100,559.48x = 150,787.58 × 53,200.13
  4. Step 4: Simplify right side
    100,559.48x = 8,021,917,838.45
  5. Step 5: Solve for x
    x = 8,021,917,838.45/100,559.48
  6. Step 6: Final answer
    x = 79,772.87

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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.