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Finding the Fourth Proportional to 185,820.46, 256,286.36 and 164,333.18

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Solution

The fourth proportional to 185,820.46, 256,286.36 and 164,333.18 is: 226,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.46 : 256,286.36 = 164,333.18 : x
  2. Step 2: Convert to fraction form
    185,820.46/256,286.36 = 164,333.18/x
  3. Step 3: Cross multiply
    185,820.46x = 256,286.36 × 164,333.18
  4. Step 4: Simplify right side
    185,820.46x = 42,116,351,707.76
  5. Step 5: Solve for x
    x = 42,116,351,707.76/185,820.46
  6. Step 6: Final answer
    x = 226,650.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.