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Finding the Fourth Proportional to 102,662.64, 141,670.22 and 57,340.41

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Solution

The fourth proportional to 102,662.64, 141,670.22 and 57,340.41 is: 79,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662.64 : 141,670.22 = 57,340.41 : x
  2. Step 2: Convert to fraction form
    102,662.64/141,670.22 = 57,340.41/x
  3. Step 3: Cross multiply
    102,662.64x = 141,670.22 × 57,340.41
  4. Step 4: Simplify right side
    102,662.64x = 8,123,427,681.62
  5. Step 5: Solve for x
    x = 8,123,427,681.62/102,662.64
  6. Step 6: Final answer
    x = 79,127.40

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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.