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Finding the Fourth Proportional to 165,416, 228,274.35 and 89,964.50

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Solution

The fourth proportional to 165,416, 228,274.35 and 89,964.50 is: 124,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416 : 228,274.35 = 89,964.50 : x
  2. Step 2: Convert to fraction form
    165,416/228,274.35 = 89,964.50/x
  3. Step 3: Cross multiply
    165,416x = 228,274.35 × 89,964.50
  4. Step 4: Simplify right side
    165,416x = 20,536,587,760.58
  5. Step 5: Solve for x
    x = 20,536,587,760.58/165,416
  6. Step 6: Final answer
    x = 124,151.16

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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.