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Finding the Fourth Proportional to 159,219.40, 219,724.51 and 86,622.70

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Solution

The fourth proportional to 159,219.40, 219,724.51 and 86,622.70 is: 119,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,219.40 : 219,724.51 = 86,622.70 : x
  2. Step 2: Convert to fraction form
    159,219.40/219,724.51 = 86,622.70/x
  3. Step 3: Cross multiply
    159,219.40x = 219,724.51 × 86,622.70
  4. Step 4: Simplify right side
    159,219.40x = 19,033,130,312.38
  5. Step 5: Solve for x
    x = 19,033,130,312.38/159,219.40
  6. Step 6: Final answer
    x = 119,540.27

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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.