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Finding the Fourth Proportional to 238,356.50, 328,662.41 and 152,202.20

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Solution

The fourth proportional to 238,356.50, 328,662.41 and 152,202.20 is: 209,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,356.50 : 328,662.41 = 152,202.20 : x
  2. Step 2: Convert to fraction form
    238,356.50/328,662.41 = 152,202.20/x
  3. Step 3: Cross multiply
    238,356.50x = 328,662.41 × 152,202.20
  4. Step 4: Simplify right side
    238,356.50x = 50,023,143,061.46
  5. Step 5: Solve for x
    x = 50,023,143,061.46/238,356.50
  6. Step 6: Final answer
    x = 209,866.91

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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.