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Finding the Fourth Proportional to 119,324.32, 164,664.08 and 65,609.28

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Solution

The fourth proportional to 119,324.32, 164,664.08 and 65,609.28 is: 90,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,324.32 : 164,664.08 = 65,609.28 : x
  2. Step 2: Convert to fraction form
    119,324.32/164,664.08 = 65,609.28/x
  3. Step 3: Cross multiply
    119,324.32x = 164,664.08 × 65,609.28
  4. Step 4: Simplify right side
    119,324.32x = 10,803,491,730.66
  5. Step 5: Solve for x
    x = 10,803,491,730.66/119,324.32
  6. Step 6: Final answer
    x = 90,538.89

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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.