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Finding the Fourth Proportional to 235,762.69, 353,644.15 and 77,991.14

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Solution

The fourth proportional to 235,762.69, 353,644.15 and 77,991.14 is: 116,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,762.69 : 353,644.15 = 77,991.14 : x
  2. Step 2: Convert to fraction form
    235,762.69/353,644.15 = 77,991.14/x
  3. Step 3: Cross multiply
    235,762.69x = 353,644.15 × 77,991.14
  4. Step 4: Simplify right side
    235,762.69x = 27,581,111,138.52
  5. Step 5: Solve for x
    x = 27,581,111,138.52/235,762.69
  6. Step 6: Final answer
    x = 116,986.75

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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.