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Finding the Fourth Proportional to 265,891.46, 398,563.59 and 116,103.74

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Solution

The fourth proportional to 265,891.46, 398,563.59 and 116,103.74 is: 174,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,891.46 : 398,563.59 = 116,103.74 : x
  2. Step 2: Convert to fraction form
    265,891.46/398,563.59 = 116,103.74/x
  3. Step 3: Cross multiply
    265,891.46x = 398,563.59 × 116,103.74
  4. Step 4: Simplify right side
    265,891.46x = 46,274,723,426.83
  5. Step 5: Solve for x
    x = 46,274,723,426.83/265,891.46
  6. Step 6: Final answer
    x = 174,036.14

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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.