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Finding the Fourth Proportional to 165,295.48, 247,844.67 and 65,470

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Solution

The fourth proportional to 165,295.48, 247,844.67 and 65,470 is: 98,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,295.48 : 247,844.67 = 65,470 : x
  2. Step 2: Convert to fraction form
    165,295.48/247,844.67 = 65,470/x
  3. Step 3: Cross multiply
    165,295.48x = 247,844.67 × 65,470
  4. Step 4: Simplify right side
    165,295.48x = 16,226,390,544.90
  5. Step 5: Solve for x
    x = 16,226,390,544.90/165,295.48
  6. Step 6: Final answer
    x = 98,165.97

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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.