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Finding the Fourth Proportional to 165,737, 228,717.10 and 90,285.48

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Solution

The fourth proportional to 165,737, 228,717.10 and 90,285.48 is: 124,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737 : 228,717.10 = 90,285.48 : x
  2. Step 2: Convert to fraction form
    165,737/228,717.10 = 90,285.48/x
  3. Step 3: Cross multiply
    165,737x = 228,717.10 × 90,285.48
  4. Step 4: Simplify right side
    165,737x = 20,649,833,157.71
  5. Step 5: Solve for x
    x = 20,649,833,157.71/165,737
  6. Step 6: Final answer
    x = 124,593.98

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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.