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Finding the Fourth Proportional to 274,065.74, 410,798.34 and 140,953.04

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Solution

The fourth proportional to 274,065.74, 410,798.34 and 140,953.04 is: 211,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,065.74 : 410,798.34 = 140,953.04 : x
  2. Step 2: Convert to fraction form
    274,065.74/410,798.34 = 140,953.04/x
  3. Step 3: Cross multiply
    274,065.74x = 410,798.34 × 140,953.04
  4. Step 4: Simplify right side
    274,065.74x = 57,903,274,849.95
  5. Step 5: Solve for x
    x = 57,903,274,849.95/274,065.74
  6. Step 6: Final answer
    x = 211,275.13

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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.