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Finding the Fourth Proportional to 188,002.83, 259,502 and 120,934.83

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Solution

The fourth proportional to 188,002.83, 259,502 and 120,934.83 is: 166,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,002.83 : 259,502 = 120,934.83 : x
  2. Step 2: Convert to fraction form
    188,002.83/259,502 = 120,934.83/x
  3. Step 3: Cross multiply
    188,002.83x = 259,502 × 120,934.83
  4. Step 4: Simplify right side
    188,002.83x = 31,382,830,254.66
  5. Step 5: Solve for x
    x = 31,382,830,254.66/188,002.83
  6. Step 6: Final answer
    x = 166,927.44

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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.