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Finding the Fourth Proportional to 165,461.96, 247,974.83 and 65,567.66

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Solution

The fourth proportional to 165,461.96, 247,974.83 and 65,567.66 is: 98,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,461.96 : 247,974.83 = 65,567.66 : x
  2. Step 2: Convert to fraction form
    165,461.96/247,974.83 = 65,567.66/x
  3. Step 3: Cross multiply
    165,461.96x = 247,974.83 × 65,567.66
  4. Step 4: Simplify right side
    165,461.96x = 16,259,127,774.29
  5. Step 5: Solve for x
    x = 16,259,127,774.29/165,461.96
  6. Step 6: Final answer
    x = 98,265.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.