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Finding the Fourth Proportional to 270,826.95, 406,305.23 and 130,470.15

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Solution

The fourth proportional to 270,826.95, 406,305.23 and 130,470.15 is: 195,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,826.95 : 406,305.23 = 130,470.15 : x
  2. Step 2: Convert to fraction form
    270,826.95/406,305.23 = 130,470.15/x
  3. Step 3: Cross multiply
    270,826.95x = 406,305.23 × 130,470.15
  4. Step 4: Simplify right side
    270,826.95x = 53,010,703,651.53
  5. Step 5: Solve for x
    x = 53,010,703,651.53/270,826.95
  6. Step 6: Final answer
    x = 195,736.44

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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.