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Finding the Fourth Proportional to 165,766.71, 228,785.51 and 97,800.31

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Solution

The fourth proportional to 165,766.71, 228,785.51 and 97,800.31 is: 134,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,766.71 : 228,785.51 = 97,800.31 : x
  2. Step 2: Convert to fraction form
    165,766.71/228,785.51 = 97,800.31/x
  3. Step 3: Cross multiply
    165,766.71x = 228,785.51 × 97,800.31
  4. Step 4: Simplify right side
    165,766.71x = 22,375,293,801.51
  5. Step 5: Solve for x
    x = 22,375,293,801.51/165,766.71
  6. Step 6: Final answer
    x = 134,980.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.