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Finding the Fourth Proportional to 165,708, 228,677.94 and 90,256.68

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Solution

The fourth proportional to 165,708, 228,677.94 and 90,256.68 is: 124,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,708 : 228,677.94 = 90,256.68 : x
  2. Step 2: Convert to fraction form
    165,708/228,677.94 = 90,256.68/x
  3. Step 3: Cross multiply
    165,708x = 228,677.94 × 90,256.68
  4. Step 4: Simplify right side
    165,708x = 20,639,711,653.64
  5. Step 5: Solve for x
    x = 20,639,711,653.64/165,708
  6. Step 6: Final answer
    x = 124,554.71

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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.