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Finding the Fourth Proportional to 232,605.90, 321,003.90 and 130,649.34

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Solution

The fourth proportional to 232,605.90, 321,003.90 and 130,649.34 is: 180,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,605.90 : 321,003.90 = 130,649.34 : x
  2. Step 2: Convert to fraction form
    232,605.90/321,003.90 = 130,649.34/x
  3. Step 3: Cross multiply
    232,605.90x = 321,003.90 × 130,649.34
  4. Step 4: Simplify right side
    232,605.90x = 41,938,947,672.43
  5. Step 5: Solve for x
    x = 41,938,947,672.43/232,605.90
  6. Step 6: Final answer
    x = 180,300.45

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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.