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Finding the Fourth Proportional to 235,201.86, 352,855.71 and 77,424.66

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Solution

The fourth proportional to 235,201.86, 352,855.71 and 77,424.66 is: 116,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,201.86 : 352,855.71 = 77,424.66 : x
  2. Step 2: Convert to fraction form
    235,201.86/352,855.71 = 77,424.66/x
  3. Step 3: Cross multiply
    235,201.86x = 352,855.71 × 77,424.66
  4. Step 4: Simplify right side
    235,201.86x = 27,319,733,375.81
  5. Step 5: Solve for x
    x = 27,319,733,375.81/235,201.86
  6. Step 6: Final answer
    x = 116,154.41

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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.