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Finding the Fourth Proportional to 271,767.34, 375,026.40 and 150,916.35

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Solution

The fourth proportional to 271,767.34, 375,026.40 and 150,916.35 is: 208,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,767.34 : 375,026.40 = 150,916.35 : x
  2. Step 2: Convert to fraction form
    271,767.34/375,026.40 = 150,916.35/x
  3. Step 3: Cross multiply
    271,767.34x = 375,026.40 × 150,916.35
  4. Step 4: Simplify right side
    271,767.34x = 56,597,615,441.64
  5. Step 5: Solve for x
    x = 56,597,615,441.64/271,767.34
  6. Step 6: Final answer
    x = 208,257.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.