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Finding the Fourth Proportional to 265,470.96, 398,255.52 and 75,923.28

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Solution

The fourth proportional to 265,470.96, 398,255.52 and 75,923.28 is: 113,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,470.96 : 398,255.52 = 75,923.28 : x
  2. Step 2: Convert to fraction form
    265,470.96/398,255.52 = 75,923.28/x
  3. Step 3: Cross multiply
    265,470.96x = 398,255.52 × 75,923.28
  4. Step 4: Simplify right side
    265,470.96x = 30,236,865,356.51
  5. Step 5: Solve for x
    x = 30,236,865,356.51/265,470.96
  6. Step 6: Final answer
    x = 113,898.96

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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.