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Finding the Fourth Proportional to 235,481.85, 353,221.16 and 77,723.01

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Solution

The fourth proportional to 235,481.85, 353,221.16 and 77,723.01 is: 116,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,481.85 : 353,221.16 = 77,723.01 : x
  2. Step 2: Convert to fraction form
    235,481.85/353,221.16 = 77,723.01/x
  3. Step 3: Cross multiply
    235,481.85x = 353,221.16 × 77,723.01
  4. Step 4: Simplify right side
    235,481.85x = 27,453,411,362.28
  5. Step 5: Solve for x
    x = 27,453,411,362.28/235,481.85
  6. Step 6: Final answer
    x = 116,583.98

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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.