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Finding the Fourth Proportional to 265,827.80, 398,812.10 and 116,003.80

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Solution

The fourth proportional to 265,827.80, 398,812.10 and 116,003.80 is: 174,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,827.80 : 398,812.10 = 116,003.80 : x
  2. Step 2: Convert to fraction form
    265,827.80/398,812.10 = 116,003.80/x
  3. Step 3: Cross multiply
    265,827.80x = 398,812.10 × 116,003.80
  4. Step 4: Simplify right side
    265,827.80x = 46,263,719,085.98
  5. Step 5: Solve for x
    x = 46,263,719,085.98/265,827.80
  6. Step 6: Final answer
    x = 174,036.42

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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.