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Finding the Fourth Proportional to 235,298.78, 353,003.52 and 77,527.22

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Solution

The fourth proportional to 235,298.78, 353,003.52 and 77,527.22 is: 116,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,298.78 : 353,003.52 = 77,527.22 : x
  2. Step 2: Convert to fraction form
    235,298.78/353,003.52 = 77,527.22/x
  3. Step 3: Cross multiply
    235,298.78x = 353,003.52 × 77,527.22
  4. Step 4: Simplify right side
    235,298.78x = 27,367,379,790.80
  5. Step 5: Solve for x
    x = 27,367,379,790.80/235,298.78
  6. Step 6: Final answer
    x = 116,309.06

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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.