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Finding the Fourth Proportional to 265,549.59, 398,490.35 and 107,778.04

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Solution

The fourth proportional to 265,549.59, 398,490.35 and 107,778.04 is: 161,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,549.59 : 398,490.35 = 107,778.04 : x
  2. Step 2: Convert to fraction form
    265,549.59/398,490.35 = 107,778.04/x
  3. Step 3: Cross multiply
    265,549.59x = 398,490.35 × 107,778.04
  4. Step 4: Simplify right side
    265,549.59x = 42,948,509,739.87
  5. Step 5: Solve for x
    x = 42,948,509,739.87/265,549.59
  6. Step 6: Final answer
    x = 161,734.42

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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.