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Finding the Fourth Proportional to 274,095.46, 410,867.20 and 114,259.90

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Solution

The fourth proportional to 274,095.46, 410,867.20 and 114,259.90 is: 171,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,095.46 : 410,867.20 = 114,259.90 : x
  2. Step 2: Convert to fraction form
    274,095.46/410,867.20 = 114,259.90/x
  3. Step 3: Cross multiply
    274,095.46x = 410,867.20 × 114,259.90
  4. Step 4: Simplify right side
    274,095.46x = 46,945,645,071.31
  5. Step 5: Solve for x
    x = 46,945,645,071.31/274,095.46
  6. Step 6: Final answer
    x = 171,274.80

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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.