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Finding the Fourth Proportional to 209,906.88, 289,507.68 and 134,462.40

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Solution

The fourth proportional to 209,906.88, 289,507.68 and 134,462.40 is: 185,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.88 : 289,507.68 = 134,462.40 : x
  2. Step 2: Convert to fraction form
    209,906.88/289,507.68 = 134,462.40/x
  3. Step 3: Cross multiply
    209,906.88x = 289,507.68 × 134,462.40
  4. Step 4: Simplify right side
    209,906.88x = 38,927,897,471.23
  5. Step 5: Solve for x
    x = 38,927,897,471.23/209,906.88
  6. Step 6: Final answer
    x = 185,453.18

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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.