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Finding the Fourth Proportional to 273,219.84, 376,957.44 and 164,275.20

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Solution

The fourth proportional to 273,219.84, 376,957.44 and 164,275.20 is: 226,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,219.84 : 376,957.44 = 164,275.20 : x
  2. Step 2: Convert to fraction form
    273,219.84/376,957.44 = 164,275.20/x
  3. Step 3: Cross multiply
    273,219.84x = 376,957.44 × 164,275.20
  4. Step 4: Simplify right side
    273,219.84x = 61,924,758,847.49
  5. Step 5: Solve for x
    x = 61,924,758,847.49/273,219.84
  6. Step 6: Final answer
    x = 226,648.10

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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.