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Finding the Fourth Proportional to 221,100.21, 304,809.17 and 186,971.63

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Solution

The fourth proportional to 221,100.21, 304,809.17 and 186,971.63 is: 257,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,100.21 : 304,809.17 = 186,971.63 : x
  2. Step 2: Convert to fraction form
    221,100.21/304,809.17 = 186,971.63/x
  3. Step 3: Cross multiply
    221,100.21x = 304,809.17 × 186,971.63
  4. Step 4: Simplify right side
    221,100.21x = 56,990,664,894.94
  5. Step 5: Solve for x
    x = 56,990,664,894.94/221,100.21
  6. Step 6: Final answer
    x = 257,759.43

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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.