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Finding the Fourth Proportional to 165,591.50, 228,516.30 and 90,140

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Solution

The fourth proportional to 165,591.50, 228,516.30 and 90,140 is: 124,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,591.50 : 228,516.30 = 90,140 : x
  2. Step 2: Convert to fraction form
    165,591.50/228,516.30 = 90,140/x
  3. Step 3: Cross multiply
    165,591.50x = 228,516.30 × 90,140
  4. Step 4: Simplify right side
    165,591.50x = 20,598,459,282
  5. Step 5: Solve for x
    x = 20,598,459,282/165,591.50
  6. Step 6: Final answer
    x = 124,393.22

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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.