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Finding the Fourth Proportional to 277,443.32, 382,869.06 and 150,116.12

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Solution

The fourth proportional to 277,443.32, 382,869.06 and 150,116.12 is: 207,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,443.32 : 382,869.06 = 150,116.12 : x
  2. Step 2: Convert to fraction form
    277,443.32/382,869.06 = 150,116.12/x
  3. Step 3: Cross multiply
    277,443.32x = 382,869.06 × 150,116.12
  4. Step 4: Simplify right side
    277,443.32x = 57,474,817,755.25
  5. Step 5: Solve for x
    x = 57,474,817,755.25/277,443.32
  6. Step 6: Final answer
    x = 207,158.77

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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.