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Finding the Fourth Proportional to 209,866.14, 289,618.56 and 114,372.72

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Solution

The fourth proportional to 209,866.14, 289,618.56 and 114,372.72 is: 157,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.14 : 289,618.56 = 114,372.72 : x
  2. Step 2: Convert to fraction form
    209,866.14/289,618.56 = 114,372.72/x
  3. Step 3: Cross multiply
    209,866.14x = 289,618.56 × 114,372.72
  4. Step 4: Simplify right side
    209,866.14x = 33,124,462,469.68
  5. Step 5: Solve for x
    x = 33,124,462,469.68/209,866.14
  6. Step 6: Final answer
    x = 157,836.14

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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.