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Finding the Fourth Proportional to 165,293.48, 247,841.66 and 65,468

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Solution

The fourth proportional to 165,293.48, 247,841.66 and 65,468 is: 98,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,293.48 : 247,841.66 = 65,468 : x
  2. Step 2: Convert to fraction form
    165,293.48/247,841.66 = 65,468/x
  3. Step 3: Cross multiply
    165,293.48x = 247,841.66 × 65,468
  4. Step 4: Simplify right side
    165,293.48x = 16,225,697,796.88
  5. Step 5: Solve for x
    x = 16,225,697,796.88/165,293.48
  6. Step 6: Final answer
    x = 98,162.96

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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.