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Finding the Fourth Proportional to 199,657.61, 275,525.41 and 109,013.29

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Solution

The fourth proportional to 199,657.61, 275,525.41 and 109,013.29 is: 150,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,657.61 : 275,525.41 = 109,013.29 : x
  2. Step 2: Convert to fraction form
    199,657.61/275,525.41 = 109,013.29/x
  3. Step 3: Cross multiply
    199,657.61x = 275,525.41 × 109,013.29
  4. Step 4: Simplify right side
    199,657.61x = 30,035,929,500.01
  5. Step 5: Solve for x
    x = 30,035,929,500.01/199,657.61
  6. Step 6: Final answer
    x = 150,437.19

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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.