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Finding the Fourth Proportional to 165,712, 228,683.46 and 90,260.68

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Solution

The fourth proportional to 165,712, 228,683.46 and 90,260.68 is: 124,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,712 : 228,683.46 = 90,260.68 : x
  2. Step 2: Convert to fraction form
    165,712/228,683.46 = 90,260.68/x
  3. Step 3: Cross multiply
    165,712x = 228,683.46 × 90,260.68
  4. Step 4: Simplify right side
    165,712x = 20,641,124,604.35
  5. Step 5: Solve for x
    x = 20,641,124,604.35/165,712
  6. Step 6: Final answer
    x = 124,560.23

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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.