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Finding the Fourth Proportional to 188,192.40, 259,698.49 and 102,149.54

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Solution

The fourth proportional to 188,192.40, 259,698.49 and 102,149.54 is: 140,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,192.40 : 259,698.49 = 102,149.54 : x
  2. Step 2: Convert to fraction form
    188,192.40/259,698.49 = 102,149.54/x
  3. Step 3: Cross multiply
    188,192.40x = 259,698.49 × 102,149.54
  4. Step 4: Simplify right side
    188,192.40x = 26,528,080,712.20
  5. Step 5: Solve for x
    x = 26,528,080,712.20/188,192.40
  6. Step 6: Final answer
    x = 140,962.55

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1.5x scale

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.