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Finding the Fourth Proportional to 103,134.54, 142,283.10 and 62,833.56

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Solution

The fourth proportional to 103,134.54, 142,283.10 and 62,833.56 is: 86,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,134.54 : 142,283.10 = 62,833.56 : x
  2. Step 2: Convert to fraction form
    103,134.54/142,283.10 = 62,833.56/x
  3. Step 3: Cross multiply
    103,134.54x = 142,283.10 × 62,833.56
  4. Step 4: Simplify right side
    103,134.54x = 8,940,153,700.84
  5. Step 5: Solve for x
    x = 8,940,153,700.84/103,134.54
  6. Step 6: Final answer
    x = 86,684.38

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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.