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Finding the Fourth Proportional to 119,695.82, 165,181.32 and 65,982.74

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Solution

The fourth proportional to 119,695.82, 165,181.32 and 65,982.74 is: 91,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,695.82 : 165,181.32 = 65,982.74 : x
  2. Step 2: Convert to fraction form
    119,695.82/165,181.32 = 65,982.74/x
  3. Step 3: Cross multiply
    119,695.82x = 165,181.32 × 65,982.74
  4. Step 4: Simplify right side
    119,695.82x = 10,899,115,264.51
  5. Step 5: Solve for x
    x = 10,899,115,264.51/119,695.82
  6. Step 6: Final answer
    x = 91,056.78

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1.5x scale

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.