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Finding the Fourth Proportional to 238,047.66, 328,356.18 and 166,401.54

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Solution

The fourth proportional to 238,047.66, 328,356.18 and 166,401.54 is: 229,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,047.66 : 328,356.18 = 166,401.54 : x
  2. Step 2: Convert to fraction form
    238,047.66/328,356.18 = 166,401.54/x
  3. Step 3: Cross multiply
    238,047.66x = 328,356.18 × 166,401.54
  4. Step 4: Simplify right side
    238,047.66x = 54,638,974,020.52
  5. Step 5: Solve for x
    x = 54,638,974,020.52/238,047.66
  6. Step 6: Final answer
    x = 229,529.56

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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.