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Finding the Fourth Proportional to 276,590.26, 414,561.66 and 105,700.07

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Solution

The fourth proportional to 276,590.26, 414,561.66 and 105,700.07 is: 158,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,590.26 : 414,561.66 = 105,700.07 : x
  2. Step 2: Convert to fraction form
    276,590.26/414,561.66 = 105,700.07/x
  3. Step 3: Cross multiply
    276,590.26x = 414,561.66 × 105,700.07
  4. Step 4: Simplify right side
    276,590.26x = 43,819,197,121.35
  5. Step 5: Solve for x
    x = 43,819,197,121.35/276,590.26
  6. Step 6: Final answer
    x = 158,426.39

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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.