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Finding the Fourth Proportional to 209,695.80, 289,388.40 and 119,060.20

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Solution

The fourth proportional to 209,695.80, 289,388.40 and 119,060.20 is: 164,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,695.80 : 289,388.40 = 119,060.20 : x
  2. Step 2: Convert to fraction form
    209,695.80/289,388.40 = 119,060.20/x
  3. Step 3: Cross multiply
    209,695.80x = 289,388.40 × 119,060.20
  4. Step 4: Simplify right side
    209,695.80x = 34,454,640,058.21
  5. Step 5: Solve for x
    x = 34,454,640,058.21/209,695.80
  6. Step 6: Final answer
    x = 164,307.73

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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.