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Finding the Fourth Proportional to 312,473.83, 468,881.37 and 132,531.26

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Solution

The fourth proportional to 312,473.83, 468,881.37 and 132,531.26 is: 198,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,473.83 : 468,881.37 = 132,531.26 : x
  2. Step 2: Convert to fraction form
    312,473.83/468,881.37 = 132,531.26/x
  3. Step 3: Cross multiply
    312,473.83x = 468,881.37 × 132,531.26
  4. Step 4: Simplify right side
    312,473.83x = 62,141,438,093.97
  5. Step 5: Solve for x
    x = 62,141,438,093.97/312,473.83
  6. Step 6: Final answer
    x = 198,869.26

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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.