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Finding the Fourth Proportional to 291,173.64, 401,787.06 and 163,893

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Solution

The fourth proportional to 291,173.64, 401,787.06 and 163,893 is: 226,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,173.64 : 401,787.06 = 163,893 : x
  2. Step 2: Convert to fraction form
    291,173.64/401,787.06 = 163,893/x
  3. Step 3: Cross multiply
    291,173.64x = 401,787.06 × 163,893
  4. Step 4: Simplify right side
    291,173.64x = 65,850,086,624.58
  5. Step 5: Solve for x
    x = 65,850,086,624.58/291,173.64
  6. Step 6: Final answer
    x = 226,154.01

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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.