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Finding the Fourth Proportional to 165,837, 228,854.86 and 90,385.50

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Solution

The fourth proportional to 165,837, 228,854.86 and 90,385.50 is: 124,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,837 : 228,854.86 = 90,385.50 : x
  2. Step 2: Convert to fraction form
    165,837/228,854.86 = 90,385.50/x
  3. Step 3: Cross multiply
    165,837x = 228,854.86 × 90,385.50
  4. Step 4: Simplify right side
    165,837x = 20,685,160,948.53
  5. Step 5: Solve for x
    x = 20,685,160,948.53/165,837
  6. Step 6: Final answer
    x = 124,731.88

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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.