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Finding the Fourth Proportional to 199,657.76, 275,525.62 and 109,013.45

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Solution

The fourth proportional to 199,657.76, 275,525.62 and 109,013.45 is: 150,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,657.76 : 275,525.62 = 109,013.45 : x
  2. Step 2: Convert to fraction form
    199,657.76/275,525.62 = 109,013.45/x
  3. Step 3: Cross multiply
    199,657.76x = 275,525.62 × 109,013.45
  4. Step 4: Simplify right side
    199,657.76x = 30,035,997,158.23
  5. Step 5: Solve for x
    x = 30,035,997,158.23/199,657.76
  6. Step 6: Final answer
    x = 150,437.42

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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.