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Finding the Fourth Proportional to 109,409.94, 163,900.67 and 97,508.61

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Solution

The fourth proportional to 109,409.94, 163,900.67 and 97,508.61 is: 146,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.94 : 163,900.67 = 97,508.61 : x
  2. Step 2: Convert to fraction form
    109,409.94/163,900.67 = 97,508.61/x
  3. Step 3: Cross multiply
    109,409.94x = 163,900.67 × 97,508.61
  4. Step 4: Simplify right side
    109,409.94x = 15,981,726,022.23
  5. Step 5: Solve for x
    x = 15,981,726,022.23/109,409.94
  6. Step 6: Final answer
    x = 146,071.98

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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.