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Finding the Fourth Proportional to 106,760.94, 147,234.65 and 88,582.86

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Solution

The fourth proportional to 106,760.94, 147,234.65 and 88,582.86 is: 122,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,760.94 : 147,234.65 = 88,582.86 : x
  2. Step 2: Convert to fraction form
    106,760.94/147,234.65 = 88,582.86/x
  3. Step 3: Cross multiply
    106,760.94x = 147,234.65 × 88,582.86
  4. Step 4: Simplify right side
    106,760.94x = 13,042,465,945.18
  5. Step 5: Solve for x
    x = 13,042,465,945.18/106,760.94
  6. Step 6: Final answer
    x = 122,165.15

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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.