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Finding the Fourth Proportional to 235,555.86, 353,284.38 and 77,748.42

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Solution

The fourth proportional to 235,555.86, 353,284.38 and 77,748.42 is: 116,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,555.86 : 353,284.38 = 77,748.42 : x
  2. Step 2: Convert to fraction form
    235,555.86/353,284.38 = 77,748.42/x
  3. Step 3: Cross multiply
    235,555.86x = 353,284.38 × 77,748.42
  4. Step 4: Simplify right side
    235,555.86x = 27,467,302,355.68
  5. Step 5: Solve for x
    x = 27,467,302,355.68/235,555.86
  6. Step 6: Final answer
    x = 116,606.32

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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.