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Finding the Fourth Proportional to 102,770.77, 141,846.54 and 62,476

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Solution

The fourth proportional to 102,770.77, 141,846.54 and 62,476 is: 86,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770.77 : 141,846.54 = 62,476 : x
  2. Step 2: Convert to fraction form
    102,770.77/141,846.54 = 62,476/x
  3. Step 3: Cross multiply
    102,770.77x = 141,846.54 × 62,476
  4. Step 4: Simplify right side
    102,770.77x = 8,862,004,433.04
  5. Step 5: Solve for x
    x = 8,862,004,433.04/102,770.77
  6. Step 6: Final answer
    x = 86,230.79

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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.