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Finding the Fourth Proportional to 316,073.48, 436,097.34 and 180,104.54

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Solution

The fourth proportional to 316,073.48, 436,097.34 and 180,104.54 is: 248,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,073.48 : 436,097.34 = 180,104.54 : x
  2. Step 2: Convert to fraction form
    316,073.48/436,097.34 = 180,104.54/x
  3. Step 3: Cross multiply
    316,073.48x = 436,097.34 × 180,104.54
  4. Step 4: Simplify right side
    316,073.48x = 78,543,108,635.44
  5. Step 5: Solve for x
    x = 78,543,108,635.44/316,073.48
  6. Step 6: Final answer
    x = 248,496.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.