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Finding the Fourth Proportional to 119,598.26, 165,053.16 and 65,883.24

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Solution

The fourth proportional to 119,598.26, 165,053.16 and 65,883.24 is: 90,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,598.26 : 165,053.16 = 65,883.24 : x
  2. Step 2: Convert to fraction form
    119,598.26/165,053.16 = 65,883.24/x
  3. Step 3: Cross multiply
    119,598.26x = 165,053.16 × 65,883.24
  4. Step 4: Simplify right side
    119,598.26x = 10,874,236,953.04
  5. Step 5: Solve for x
    x = 10,874,236,953.04/119,598.26
  6. Step 6: Final answer
    x = 90,923.04

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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.