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Finding the Fourth Proportional to 165,873.33, 228,833.01 and 105,411.56

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Solution

The fourth proportional to 165,873.33, 228,833.01 and 105,411.56 is: 145,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,873.33 : 228,833.01 = 105,411.56 : x
  2. Step 2: Convert to fraction form
    165,873.33/228,833.01 = 105,411.56/x
  3. Step 3: Cross multiply
    165,873.33x = 228,833.01 × 105,411.56
  4. Step 4: Simplify right side
    165,873.33x = 24,121,643,419.43
  5. Step 5: Solve for x
    x = 24,121,643,419.43/165,873.33
  6. Step 6: Final answer
    x = 145,422.07

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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.