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Finding the Fourth Proportional to 378,106.97, 567,244.55 and 164,909.36

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Solution

The fourth proportional to 378,106.97, 567,244.55 and 164,909.36 is: 247,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,106.97 : 567,244.55 = 164,909.36 : x
  2. Step 2: Convert to fraction form
    378,106.97/567,244.55 = 164,909.36/x
  3. Step 3: Cross multiply
    378,106.97x = 567,244.55 × 164,909.36
  4. Step 4: Simplify right side
    378,106.97x = 93,543,937,534.37
  5. Step 5: Solve for x
    x = 93,543,937,534.37/378,106.97
  6. Step 6: Final answer
    x = 247,400.73

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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.