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Finding the Fourth Proportional to 238,100.16, 328,494.24 and 146,187.84

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Solution

The fourth proportional to 238,100.16, 328,494.24 and 146,187.84 is: 201,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,100.16 : 328,494.24 = 146,187.84 : x
  2. Step 2: Convert to fraction form
    238,100.16/328,494.24 = 146,187.84/x
  3. Step 3: Cross multiply
    238,100.16x = 328,494.24 × 146,187.84
  4. Step 4: Simplify right side
    238,100.16x = 48,021,863,398.04
  5. Step 5: Solve for x
    x = 48,021,863,398.04/238,100.16
  6. Step 6: Final answer
    x = 201,687.66

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1.5x scale

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.