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Finding the Fourth Proportional to 206,889.56, 285,507.78 and 117,465.56

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Solution

The fourth proportional to 206,889.56, 285,507.78 and 117,465.56 is: 162,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,889.56 : 285,507.78 = 117,465.56 : x
  2. Step 2: Convert to fraction form
    206,889.56/285,507.78 = 117,465.56/x
  3. Step 3: Cross multiply
    206,889.56x = 285,507.78 × 117,465.56
  4. Step 4: Simplify right side
    206,889.56x = 33,537,331,262.06
  5. Step 5: Solve for x
    x = 33,537,331,262.06/206,889.56
  6. Step 6: Final answer
    x = 162,102.58

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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.