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Finding the Fourth Proportional to 165,214.96, 247,831.80 and 46,876.96

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Solution

The fourth proportional to 165,214.96, 247,831.80 and 46,876.96 is: 70,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,214.96 : 247,831.80 = 46,876.96 : x
  2. Step 2: Convert to fraction form
    165,214.96/247,831.80 = 46,876.96/x
  3. Step 3: Cross multiply
    165,214.96x = 247,831.80 × 46,876.96
  4. Step 4: Simplify right side
    165,214.96x = 11,617,601,375.33
  5. Step 5: Solve for x
    x = 11,617,601,375.33/165,214.96
  6. Step 6: Final answer
    x = 70,318.10

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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.