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Finding the Fourth Proportional to 164,909.32, 227,575.44 and 89,458.36

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Solution

The fourth proportional to 164,909.32, 227,575.44 and 89,458.36 is: 123,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909.32 : 227,575.44 = 89,458.36 : x
  2. Step 2: Convert to fraction form
    164,909.32/227,575.44 = 89,458.36/x
  3. Step 3: Cross multiply
    164,909.32x = 227,575.44 × 89,458.36
  4. Step 4: Simplify right side
    164,909.32x = 20,358,525,638.68
  5. Step 5: Solve for x
    x = 20,358,525,638.68/164,909.32
  6. Step 6: Final answer
    x = 123,452.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.