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Finding the Fourth Proportional to 241,299.84, 361,949.52 and 165,323.52

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Solution

The fourth proportional to 241,299.84, 361,949.52 and 165,323.52 is: 247,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,299.84 : 361,949.52 = 165,323.52 : x
  2. Step 2: Convert to fraction form
    241,299.84/361,949.52 = 165,323.52/x
  3. Step 3: Cross multiply
    241,299.84x = 361,949.52 × 165,323.52
  4. Step 4: Simplify right side
    241,299.84x = 59,838,768,708.71
  5. Step 5: Solve for x
    x = 59,838,768,708.71/241,299.84
  6. Step 6: Final answer
    x = 247,985.12

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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.