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Finding the Fourth Proportional to 238,422.50, 329,011.29 and 142,910.66

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Solution

The fourth proportional to 238,422.50, 329,011.29 and 142,910.66 is: 197,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,422.50 : 329,011.29 = 142,910.66 : x
  2. Step 2: Convert to fraction form
    238,422.50/329,011.29 = 142,910.66/x
  3. Step 3: Cross multiply
    238,422.50x = 329,011.29 × 142,910.66
  4. Step 4: Simplify right side
    238,422.50x = 47,019,220,601.35
  5. Step 5: Solve for x
    x = 47,019,220,601.35/238,422.50
  6. Step 6: Final answer
    x = 197,209.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.