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Finding the Fourth Proportional to 265,568.25, 398,614.83 and 140,909.25

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Solution

The fourth proportional to 265,568.25, 398,614.83 and 140,909.25 is: 211,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,568.25 : 398,614.83 = 140,909.25 : x
  2. Step 2: Convert to fraction form
    265,568.25/398,614.83 = 140,909.25/x
  3. Step 3: Cross multiply
    265,568.25x = 398,614.83 × 140,909.25
  4. Step 4: Simplify right side
    265,568.25x = 56,168,516,734.18
  5. Step 5: Solve for x
    x = 56,168,516,734.18/265,568.25
  6. Step 6: Final answer
    x = 211,503.13

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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.