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Finding the Fourth Proportional to 265,782.27, 398,391.42 and 130,655.78

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Solution

The fourth proportional to 265,782.27, 398,391.42 and 130,655.78 is: 195,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,782.27 : 398,391.42 = 130,655.78 : x
  2. Step 2: Convert to fraction form
    265,782.27/398,391.42 = 130,655.78/x
  3. Step 3: Cross multiply
    265,782.27x = 398,391.42 × 130,655.78
  4. Step 4: Simplify right side
    265,782.27x = 52,052,141,725.41
  5. Step 5: Solve for x
    x = 52,052,141,725.41/265,782.27
  6. Step 6: Final answer
    x = 195,845.05

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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.