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Finding the Fourth Proportional to 165,324, 228,146.58 and 89,871.96

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Solution

The fourth proportional to 165,324, 228,146.58 and 89,871.96 is: 124,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,324 : 228,146.58 = 89,871.96 : x
  2. Step 2: Convert to fraction form
    165,324/228,146.58 = 89,871.96/x
  3. Step 3: Cross multiply
    165,324x = 228,146.58 × 89,871.96
  4. Step 4: Simplify right side
    165,324x = 20,503,980,311.90
  5. Step 5: Solve for x
    x = 20,503,980,311.90/165,324
  6. Step 6: Final answer
    x = 124,023.01

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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.