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Finding the Fourth Proportional to 165,814, 228,824.94 and 90,364.12

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Solution

The fourth proportional to 165,814, 228,824.94 and 90,364.12 is: 124,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,814 : 228,824.94 = 90,364.12 : x
  2. Step 2: Convert to fraction form
    165,814/228,824.94 = 90,364.12/x
  3. Step 3: Cross multiply
    165,814x = 228,824.94 × 90,364.12
  4. Step 4: Simplify right side
    165,814x = 20,677,564,337.15
  5. Step 5: Solve for x
    x = 20,677,564,337.15/165,814
  6. Step 6: Final answer
    x = 124,703.37

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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.