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Finding the Fourth Proportional to 188,448, 282,518.91 and 104,204.76

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Solution

The fourth proportional to 188,448, 282,518.91 and 104,204.76 is: 156,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,448 : 282,518.91 = 104,204.76 : x
  2. Step 2: Convert to fraction form
    188,448/282,518.91 = 104,204.76/x
  3. Step 3: Cross multiply
    188,448x = 282,518.91 × 104,204.76
  4. Step 4: Simplify right side
    188,448x = 29,439,815,212.01
  5. Step 5: Solve for x
    x = 29,439,815,212.01/188,448
  6. Step 6: Final answer
    x = 156,222.49

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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.