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Finding the Fourth Proportional to 102,356.96, 141,227.88 and 57,644.96

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Solution

The fourth proportional to 102,356.96, 141,227.88 and 57,644.96 is: 79,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.96 : 141,227.88 = 57,644.96 : x
  2. Step 2: Convert to fraction form
    102,356.96/141,227.88 = 57,644.96/x
  3. Step 3: Cross multiply
    102,356.96x = 141,227.88 × 57,644.96
  4. Step 4: Simplify right side
    102,356.96x = 8,141,075,493.48
  5. Step 5: Solve for x
    x = 8,141,075,493.48/102,356.96
  6. Step 6: Final answer
    x = 79,536.12

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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.