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Finding the Fourth Proportional to 102,665.36, 141,675.30 and 57,342

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Solution

The fourth proportional to 102,665.36, 141,675.30 and 57,342 is: 79,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.36 : 141,675.30 = 57,342 : x
  2. Step 2: Convert to fraction form
    102,665.36/141,675.30 = 57,342/x
  3. Step 3: Cross multiply
    102,665.36x = 141,675.30 × 57,342
  4. Step 4: Simplify right side
    102,665.36x = 8,123,945,052.60
  5. Step 5: Solve for x
    x = 8,123,945,052.60/102,665.36
  6. Step 6: Final answer
    x = 79,130.35

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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.