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Finding the Fourth Proportional to 165,740.92, 228,722.45 and 90,289.42

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Solution

The fourth proportional to 165,740.92, 228,722.45 and 90,289.42 is: 124,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,740.92 : 228,722.45 = 90,289.42 : x
  2. Step 2: Convert to fraction form
    165,740.92/228,722.45 = 90,289.42/x
  3. Step 3: Cross multiply
    165,740.92x = 228,722.45 × 90,289.42
  4. Step 4: Simplify right side
    165,740.92x = 20,651,216,328.23
  5. Step 5: Solve for x
    x = 20,651,216,328.23/165,740.92
  6. Step 6: Final answer
    x = 124,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.