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Finding the Fourth Proportional to 102,414.65, 141,331.63 and 57,093.00

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Solution

The fourth proportional to 102,414.65, 141,331.63 and 57,093.00 is: 78,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414.65 : 141,331.63 = 57,093.00 : x
  2. Step 2: Convert to fraction form
    102,414.65/141,331.63 = 57,093.00/x
  3. Step 3: Cross multiply
    102,414.65x = 141,331.63 × 57,093.00
  4. Step 4: Simplify right side
    102,414.65x = 8,069,046,940.76
  5. Step 5: Solve for x
    x = 8,069,046,940.76/102,414.65
  6. Step 6: Final answer
    x = 78,788.02

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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.