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Finding the Fourth Proportional to 119,215.08, 164,662.38 and 89,134.02

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Solution

The fourth proportional to 119,215.08, 164,662.38 and 89,134.02 is: 123,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,215.08 : 164,662.38 = 89,134.02 : x
  2. Step 2: Convert to fraction form
    119,215.08/164,662.38 = 89,134.02/x
  3. Step 3: Cross multiply
    119,215.08x = 164,662.38 × 89,134.02
  4. Step 4: Simplify right side
    119,215.08x = 14,677,019,872.17
  5. Step 5: Solve for x
    x = 14,677,019,872.17/119,215.08
  6. Step 6: Final answer
    x = 123,113.79

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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.