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Finding the Fourth Proportional to 277,440.32, 382,864.92 and 150,113.12

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Solution

The fourth proportional to 277,440.32, 382,864.92 and 150,113.12 is: 207,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,440.32 : 382,864.92 = 150,113.12 : x
  2. Step 2: Convert to fraction form
    277,440.32/382,864.92 = 150,113.12/x
  3. Step 3: Cross multiply
    277,440.32x = 382,864.92 × 150,113.12
  4. Step 4: Simplify right side
    277,440.32x = 57,473,047,679.75
  5. Step 5: Solve for x
    x = 57,473,047,679.75/277,440.32
  6. Step 6: Final answer
    x = 207,154.63

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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.