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Finding the Fourth Proportional to 265,434.49, 398,151.72 and 75,893.35

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Solution

The fourth proportional to 265,434.49, 398,151.72 and 75,893.35 is: 113,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,434.49 : 398,151.72 = 75,893.35 : x
  2. Step 2: Convert to fraction form
    265,434.49/398,151.72 = 75,893.35/x
  3. Step 3: Cross multiply
    265,434.49x = 398,151.72 × 75,893.35
  4. Step 4: Simplify right side
    265,434.49x = 30,217,066,470.42
  5. Step 5: Solve for x
    x = 30,217,066,470.42/265,434.49
  6. Step 6: Final answer
    x = 113,840.02

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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.