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Finding the Fourth Proportional to 165,833.64, 228,618.56 and 140,237.18

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Solution

The fourth proportional to 165,833.64, 228,618.56 and 140,237.18 is: 193,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,833.64 : 228,618.56 = 140,237.18 : x
  2. Step 2: Convert to fraction form
    165,833.64/228,618.56 = 140,237.18/x
  3. Step 3: Cross multiply
    165,833.64x = 228,618.56 × 140,237.18
  4. Step 4: Simplify right side
    165,833.64x = 32,060,822,150.06
  5. Step 5: Solve for x
    x = 32,060,822,150.06/165,833.64
  6. Step 6: Final answer
    x = 193,331.23

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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.