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Finding the Fourth Proportional to 119,633.45, 165,101.53 and 65,918.45

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Solution

The fourth proportional to 119,633.45, 165,101.53 and 65,918.45 is: 90,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,633.45 : 165,101.53 = 65,918.45 : x
  2. Step 2: Convert to fraction form
    119,633.45/165,101.53 = 65,918.45/x
  3. Step 3: Cross multiply
    119,633.45x = 165,101.53 × 65,918.45
  4. Step 4: Simplify right side
    119,633.45x = 10,883,236,764.74
  5. Step 5: Solve for x
    x = 10,883,236,764.74/119,633.45
  6. Step 6: Final answer
    x = 90,971.52

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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.