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Finding the Fourth Proportional to 106,083.52, 159,118.08 and 76,554.88

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Solution

The fourth proportional to 106,083.52, 159,118.08 and 76,554.88 is: 114,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083.52 : 159,118.08 = 76,554.88 : x
  2. Step 2: Convert to fraction form
    106,083.52/159,118.08 = 76,554.88/x
  3. Step 3: Cross multiply
    106,083.52x = 159,118.08 × 76,554.88
  4. Step 4: Simplify right side
    106,083.52x = 12,181,265,520.23
  5. Step 5: Solve for x
    x = 12,181,265,520.23/106,083.52
  6. Step 6: Final answer
    x = 114,827.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.