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Finding the Fourth Proportional to 165,419.82, 228,291.21 and 93,806.10

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Solution

The fourth proportional to 165,419.82, 228,291.21 and 93,806.10 is: 129,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,419.82 : 228,291.21 = 93,806.10 : x
  2. Step 2: Convert to fraction form
    165,419.82/228,291.21 = 93,806.10/x
  3. Step 3: Cross multiply
    165,419.82x = 228,291.21 × 93,806.10
  4. Step 4: Simplify right side
    165,419.82x = 21,415,108,074.38
  5. Step 5: Solve for x
    x = 21,415,108,074.38/165,419.82
  6. Step 6: Final answer
    x = 129,459.14

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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.