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Finding the Fourth Proportional to 342,990.16, 514,504.66 and 106,366.48

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Solution

The fourth proportional to 342,990.16, 514,504.66 and 106,366.48 is: 159,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,990.16 : 514,504.66 = 106,366.48 : x
  2. Step 2: Convert to fraction form
    342,990.16/514,504.66 = 106,366.48/x
  3. Step 3: Cross multiply
    342,990.16x = 514,504.66 × 106,366.48
  4. Step 4: Simplify right side
    342,990.16x = 54,726,049,627.80
  5. Step 5: Solve for x
    x = 54,726,049,627.80/342,990.16
  6. Step 6: Final answer
    x = 159,555.74

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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.