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Finding the Fourth Proportional to 195,969.92, 270,443.22 and 119,492.96

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Solution

The fourth proportional to 195,969.92, 270,443.22 and 119,492.96 is: 164,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,969.92 : 270,443.22 = 119,492.96 : x
  2. Step 2: Convert to fraction form
    195,969.92/270,443.22 = 119,492.96/x
  3. Step 3: Cross multiply
    195,969.92x = 270,443.22 × 119,492.96
  4. Step 4: Simplify right side
    195,969.92x = 32,316,060,869.73
  5. Step 5: Solve for x
    x = 32,316,060,869.73/195,969.92
  6. Step 6: Final answer
    x = 164,903.17

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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.