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Finding the Fourth Proportional to 277,529.47, 382,990.65 and 150,205.06

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Solution

The fourth proportional to 277,529.47, 382,990.65 and 150,205.06 is: 207,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,529.47 : 382,990.65 = 150,205.06 : x
  2. Step 2: Convert to fraction form
    277,529.47/382,990.65 = 150,205.06/x
  3. Step 3: Cross multiply
    277,529.47x = 382,990.65 × 150,205.06
  4. Step 4: Simplify right side
    277,529.47x = 57,527,132,980.73
  5. Step 5: Solve for x
    x = 57,527,132,980.73/277,529.47
  6. Step 6: Final answer
    x = 207,282.97

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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.