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Finding the Fourth Proportional to 120,085.03, 165,693.79 and 72,341

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Solution

The fourth proportional to 120,085.03, 165,693.79 and 72,341 is: 99,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,085.03 : 165,693.79 = 72,341 : x
  2. Step 2: Convert to fraction form
    120,085.03/165,693.79 = 72,341/x
  3. Step 3: Cross multiply
    120,085.03x = 165,693.79 × 72,341
  4. Step 4: Simplify right side
    120,085.03x = 11,986,454,462.39
  5. Step 5: Solve for x
    x = 11,986,454,462.39/120,085.03
  6. Step 6: Final answer
    x = 99,816.39

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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.