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Finding the Fourth Proportional to 109,129.80, 163,694.70 and 96,007.80

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Solution

The fourth proportional to 109,129.80, 163,694.70 and 96,007.80 is: 144,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,129.80 : 163,694.70 = 96,007.80 : x
  2. Step 2: Convert to fraction form
    109,129.80/163,694.70 = 96,007.80/x
  3. Step 3: Cross multiply
    109,129.80x = 163,694.70 × 96,007.80
  4. Step 4: Simplify right side
    109,129.80x = 15,715,968,018.66
  5. Step 5: Solve for x
    x = 15,715,968,018.66/109,129.80
  6. Step 6: Final answer
    x = 144,011.70

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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.