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Finding the Fourth Proportional to 277,436.32, 382,859.40 and 150,109.12

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Solution

The fourth proportional to 277,436.32, 382,859.40 and 150,109.12 is: 207,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,436.32 : 382,859.40 = 150,109.12 : x
  2. Step 2: Convert to fraction form
    277,436.32/382,859.40 = 150,109.12/x
  3. Step 3: Cross multiply
    277,436.32x = 382,859.40 × 150,109.12
  4. Step 4: Simplify right side
    277,436.32x = 57,470,687,617.73
  5. Step 5: Solve for x
    x = 57,470,687,617.73/277,436.32
  6. Step 6: Final answer
    x = 207,149.11

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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.