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Finding the Fourth Proportional to 238,224, 328,655.36 and 136,194.65

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Solution

The fourth proportional to 238,224, 328,655.36 and 136,194.65 is: 187,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,224 : 328,655.36 = 136,194.65 : x
  2. Step 2: Convert to fraction form
    238,224/328,655.36 = 136,194.65/x
  3. Step 3: Cross multiply
    238,224x = 328,655.36 × 136,194.65
  4. Step 4: Simplify right side
    238,224x = 44,761,099,401.57
  5. Step 5: Solve for x
    x = 44,761,099,401.57/238,224
  6. Step 6: Final answer
    x = 187,895.00

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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.