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Finding the Fourth Proportional to 235,493.99, 353,191.50 and 77,685.47

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Solution

The fourth proportional to 235,493.99, 353,191.50 and 77,685.47 is: 116,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,493.99 : 353,191.50 = 77,685.47 : x
  2. Step 2: Convert to fraction form
    235,493.99/353,191.50 = 77,685.47/x
  3. Step 3: Cross multiply
    235,493.99x = 353,191.50 × 77,685.47
  4. Step 4: Simplify right side
    235,493.99x = 27,437,845,911.55
  5. Step 5: Solve for x
    x = 27,437,845,911.55/235,493.99
  6. Step 6: Final answer
    x = 116,511.88

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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.