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Finding the Fourth Proportional to 188,227, 282,332.40 and 47,981.44

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Solution

The fourth proportional to 188,227, 282,332.40 and 47,981.44 is: 71,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,227 : 282,332.40 = 47,981.44 : x
  2. Step 2: Convert to fraction form
    188,227/282,332.40 = 47,981.44/x
  3. Step 3: Cross multiply
    188,227x = 282,332.40 × 47,981.44
  4. Step 4: Simplify right side
    188,227x = 13,546,715,110.66
  5. Step 5: Solve for x
    x = 13,546,715,110.66/188,227
  6. Step 6: Final answer
    x = 71,970.10

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1.5x scale

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.