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Finding the Fourth Proportional to 238,314.74, 328,729.91 and 141,454.76

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Solution

The fourth proportional to 238,314.74, 328,729.91 and 141,454.76 is: 195,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,314.74 : 328,729.91 = 141,454.76 : x
  2. Step 2: Convert to fraction form
    238,314.74/328,729.91 = 141,454.76/x
  3. Step 3: Cross multiply
    238,314.74x = 328,729.91 × 141,454.76
  4. Step 4: Simplify right side
    238,314.74x = 46,500,408,172.95
  5. Step 5: Solve for x
    x = 46,500,408,172.95/238,314.74
  6. Step 6: Final answer
    x = 195,121.83

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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.