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Finding the Fourth Proportional to 199,659.60, 275,510.28 and 110,229.84

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Solution

The fourth proportional to 199,659.60, 275,510.28 and 110,229.84 is: 152,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,659.60 : 275,510.28 = 110,229.84 : x
  2. Step 2: Convert to fraction form
    199,659.60/275,510.28 = 110,229.84/x
  3. Step 3: Cross multiply
    199,659.60x = 275,510.28 × 110,229.84
  4. Step 4: Simplify right side
    199,659.60x = 30,369,454,082.76
  5. Step 5: Solve for x
    x = 30,369,454,082.76/199,659.60
  6. Step 6: Final answer
    x = 152,106.16

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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.