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Finding the Fourth Proportional to 277,446.40, 382,875.06 and 150,121.42

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Solution

The fourth proportional to 277,446.40, 382,875.06 and 150,121.42 is: 207,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,446.40 : 382,875.06 = 150,121.42 : x
  2. Step 2: Convert to fraction form
    277,446.40/382,875.06 = 150,121.42/x
  3. Step 3: Cross multiply
    277,446.40x = 382,875.06 × 150,121.42
  4. Step 4: Simplify right side
    277,446.40x = 57,477,747,689.79
  5. Step 5: Solve for x
    x = 57,477,747,689.79/277,446.40
  6. Step 6: Final answer
    x = 207,167.03

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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.