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Finding the Fourth Proportional to 119,397.56, 164,767.45 and 65,682.64

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Solution

The fourth proportional to 119,397.56, 164,767.45 and 65,682.64 is: 90,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,397.56 : 164,767.45 = 65,682.64 : x
  2. Step 2: Convert to fraction form
    119,397.56/164,767.45 = 65,682.64/x
  3. Step 3: Cross multiply
    119,397.56x = 164,767.45 × 65,682.64
  4. Step 4: Simplify right side
    119,397.56x = 10,822,361,102.07
  5. Step 5: Solve for x
    x = 10,822,361,102.07/119,397.56
  6. Step 6: Final answer
    x = 90,641.39

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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.