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Finding the Fourth Proportional to 353,103.82, 487,292.70 and 191,969.74

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Solution

The fourth proportional to 353,103.82, 487,292.70 and 191,969.74 is: 264,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,103.82 : 487,292.70 = 191,969.74 : x
  2. Step 2: Convert to fraction form
    353,103.82/487,292.70 = 191,969.74/x
  3. Step 3: Cross multiply
    353,103.82x = 487,292.70 × 191,969.74
  4. Step 4: Simplify right side
    353,103.82x = 93,545,452,922.90
  5. Step 5: Solve for x
    x = 93,545,452,922.90/353,103.82
  6. Step 6: Final answer
    x = 264,923.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.