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Finding the Fourth Proportional to 165,610, 228,599.40 and 98,540.56

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Solution

The fourth proportional to 165,610, 228,599.40 and 98,540.56 is: 136,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,610 : 228,599.40 = 98,540.56 : x
  2. Step 2: Convert to fraction form
    165,610/228,599.40 = 98,540.56/x
  3. Step 3: Cross multiply
    165,610x = 228,599.40 × 98,540.56
  4. Step 4: Simplify right side
    165,610x = 22,526,312,891.66
  5. Step 5: Solve for x
    x = 22,526,312,891.66/165,610
  6. Step 6: Final answer
    x = 136,020.25

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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.