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Finding the Fourth Proportional to 159,719.32, 220,428.12 and 119,363.10

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Solution

The fourth proportional to 159,719.32, 220,428.12 and 119,363.10 is: 164,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,719.32 : 220,428.12 = 119,363.10 : x
  2. Step 2: Convert to fraction form
    159,719.32/220,428.12 = 119,363.10/x
  3. Step 3: Cross multiply
    159,719.32x = 220,428.12 × 119,363.10
  4. Step 4: Simplify right side
    159,719.32x = 26,310,983,730.37
  5. Step 5: Solve for x
    x = 26,310,983,730.37/159,719.32
  6. Step 6: Final answer
    x = 164,732.63

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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.