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Finding the Fourth Proportional to 165,322.50, 228,145.14 and 89,871

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Solution

The fourth proportional to 165,322.50, 228,145.14 and 89,871 is: 124,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,322.50 : 228,145.14 = 89,871 : x
  2. Step 2: Convert to fraction form
    165,322.50/228,145.14 = 89,871/x
  3. Step 3: Cross multiply
    165,322.50x = 228,145.14 × 89,871
  4. Step 4: Simplify right side
    165,322.50x = 20,503,631,876.94
  5. Step 5: Solve for x
    x = 20,503,631,876.94/165,322.50
  6. Step 6: Final answer
    x = 124,022.03

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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.