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Finding the Fourth Proportional to 164,844, 247,243.86 and 46,524.84

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Solution

The fourth proportional to 164,844, 247,243.86 and 46,524.84 is: 69,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,844 : 247,243.86 = 46,524.84 : x
  2. Step 2: Convert to fraction form
    164,844/247,243.86 = 46,524.84/x
  3. Step 3: Cross multiply
    164,844x = 247,243.86 × 46,524.84
  4. Step 4: Simplify right side
    164,844x = 11,502,981,027.48
  5. Step 5: Solve for x
    x = 11,502,981,027.48/164,844
  6. Step 6: Final answer
    x = 69,781.01

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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.