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Finding the Fourth Proportional to 271,925.76, 375,152.86 and 200,475.66

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Solution

The fourth proportional to 271,925.76, 375,152.86 and 200,475.66 is: 276,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,925.76 : 375,152.86 = 200,475.66 : x
  2. Step 2: Convert to fraction form
    271,925.76/375,152.86 = 200,475.66/x
  3. Step 3: Cross multiply
    271,925.76x = 375,152.86 × 200,475.66
  4. Step 4: Simplify right side
    271,925.76x = 75,209,014,832.43
  5. Step 5: Solve for x
    x = 75,209,014,832.43/271,925.76
  6. Step 6: Final answer
    x = 276,579.23

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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.