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Finding the Fourth Proportional to 102,665.87, 141,677.38 and 57,344.51

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Solution

The fourth proportional to 102,665.87, 141,677.38 and 57,344.51 is: 79,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.87 : 141,677.38 = 57,344.51 : x
  2. Step 2: Convert to fraction form
    102,665.87/141,677.38 = 57,344.51/x
  3. Step 3: Cross multiply
    102,665.87x = 141,677.38 × 57,344.51
  4. Step 4: Simplify right side
    102,665.87x = 8,124,419,647.46
  5. Step 5: Solve for x
    x = 8,124,419,647.46/102,665.87
  6. Step 6: Final answer
    x = 79,134.58

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Why These Related Problems?

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