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Finding the Fourth Proportional to 106,648.30, 159,742.05 and 88,216.30

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Solution

The fourth proportional to 106,648.30, 159,742.05 and 88,216.30 is: 132,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,648.30 : 159,742.05 = 88,216.30 : x
  2. Step 2: Convert to fraction form
    106,648.30/159,742.05 = 88,216.30/x
  3. Step 3: Cross multiply
    106,648.30x = 159,742.05 × 88,216.30
  4. Step 4: Simplify right side
    106,648.30x = 14,091,852,605.42
  5. Step 5: Solve for x
    x = 14,091,852,605.42/106,648.30
  6. Step 6: Final answer
    x = 132,133.87

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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.