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Finding the Fourth Proportional to 313,073.41, 469,686.54 and 99,841.33

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Solution

The fourth proportional to 313,073.41, 469,686.54 and 99,841.33 is: 149,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,073.41 : 469,686.54 = 99,841.33 : x
  2. Step 2: Convert to fraction form
    313,073.41/469,686.54 = 99,841.33/x
  3. Step 3: Cross multiply
    313,073.41x = 469,686.54 × 99,841.33
  4. Step 4: Simplify right side
    313,073.41x = 46,894,128,836.70
  5. Step 5: Solve for x
    x = 46,894,128,836.70/313,073.41
  6. Step 6: Final answer
    x = 149,786.37

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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.