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Finding the Fourth Proportional to 102,966.54, 142,096.54 and 57,644.32

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Solution

The fourth proportional to 102,966.54, 142,096.54 and 57,644.32 is: 79,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,966.54 : 142,096.54 = 57,644.32 : x
  2. Step 2: Convert to fraction form
    102,966.54/142,096.54 = 57,644.32/x
  3. Step 3: Cross multiply
    102,966.54x = 142,096.54 × 57,644.32
  4. Step 4: Simplify right side
    102,966.54x = 8,191,058,422.65
  5. Step 5: Solve for x
    x = 8,191,058,422.65/102,966.54
  6. Step 6: Final answer
    x = 79,550.68

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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.