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Finding the Fourth Proportional to 199,253.76, 274,970.16 and 109,829.76

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Solution

The fourth proportional to 199,253.76, 274,970.16 and 109,829.76 is: 151,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,253.76 : 274,970.16 = 109,829.76 : x
  2. Step 2: Convert to fraction form
    199,253.76/274,970.16 = 109,829.76/x
  3. Step 3: Cross multiply
    199,253.76x = 274,970.16 × 109,829.76
  4. Step 4: Simplify right side
    199,253.76x = 30,199,906,679.96
  5. Step 5: Solve for x
    x = 30,199,906,679.96/199,253.76
  6. Step 6: Final answer
    x = 151,565.05

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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.