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Finding the Fourth Proportional to 238,103.88, 328,685.84 and 146,238.05

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Solution

The fourth proportional to 238,103.88, 328,685.84 and 146,238.05 is: 201,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,103.88 : 328,685.84 = 146,238.05 : x
  2. Step 2: Convert to fraction form
    238,103.88/328,685.84 = 146,238.05/x
  3. Step 3: Cross multiply
    238,103.88x = 328,685.84 × 146,238.05
  4. Step 4: Simplify right side
    238,103.88x = 48,066,375,026.38
  5. Step 5: Solve for x
    x = 48,066,375,026.38/238,103.88
  6. Step 6: Final answer
    x = 201,871.45

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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.