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Finding the Fourth Proportional to 235,200.99, 352,801.49 and 77,474.55

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Solution

The fourth proportional to 235,200.99, 352,801.49 and 77,474.55 is: 116,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,200.99 : 352,801.49 = 77,474.55 : x
  2. Step 2: Convert to fraction form
    235,200.99/352,801.49 = 77,474.55/x
  3. Step 3: Cross multiply
    235,200.99x = 352,801.49 × 77,474.55
  4. Step 4: Simplify right side
    235,200.99x = 27,333,136,289.71
  5. Step 5: Solve for x
    x = 27,333,136,289.71/235,200.99
  6. Step 6: Final answer
    x = 116,211.83

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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.