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Finding the Fourth Proportional to 277,410.32, 382,823.52 and 150,083.20

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Solution

The fourth proportional to 277,410.32, 382,823.52 and 150,083.20 is: 207,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,410.32 : 382,823.52 = 150,083.20 : x
  2. Step 2: Convert to fraction form
    277,410.32/382,823.52 = 150,083.20/x
  3. Step 3: Cross multiply
    277,410.32x = 382,823.52 × 150,083.20
  4. Step 4: Simplify right side
    277,410.32x = 57,455,378,916.86
  5. Step 5: Solve for x
    x = 57,455,378,916.86/277,410.32
  6. Step 6: Final answer
    x = 207,113.34

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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.