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Finding the Fourth Proportional to 209,884.25, 289,648.01 and 119,255.58

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Solution

The fourth proportional to 209,884.25, 289,648.01 and 119,255.58 is: 164,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.25 : 289,648.01 = 119,255.58 : x
  2. Step 2: Convert to fraction form
    209,884.25/289,648.01 = 119,255.58/x
  3. Step 3: Cross multiply
    209,884.25x = 289,648.01 × 119,255.58
  4. Step 4: Simplify right side
    209,884.25x = 34,542,141,726.53
  5. Step 5: Solve for x
    x = 34,542,141,726.53/209,884.25
  6. Step 6: Final answer
    x = 164,577.10

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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.