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Finding the Fourth Proportional to 165,043, 227,758.80 and 89,590.96

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Solution

The fourth proportional to 165,043, 227,758.80 and 89,590.96 is: 123,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,043 : 227,758.80 = 89,590.96 : x
  2. Step 2: Convert to fraction form
    165,043/227,758.80 = 89,590.96/x
  3. Step 3: Cross multiply
    165,043x = 227,758.80 × 89,590.96
  4. Step 4: Simplify right side
    165,043x = 20,405,129,540.45
  5. Step 5: Solve for x
    x = 20,405,129,540.45/165,043
  6. Step 6: Final answer
    x = 123,635.23

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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.