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Finding the Fourth Proportional to 233,649.83, 322,436.35 and 126,219.53

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Solution

The fourth proportional to 233,649.83, 322,436.35 and 126,219.53 is: 174,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,649.83 : 322,436.35 = 126,219.53 : x
  2. Step 2: Convert to fraction form
    233,649.83/322,436.35 = 126,219.53/x
  3. Step 3: Cross multiply
    233,649.83x = 322,436.35 × 126,219.53
  4. Step 4: Simplify right side
    233,649.83x = 40,697,764,057.07
  5. Step 5: Solve for x
    x = 40,697,764,057.07/233,649.83
  6. Step 6: Final answer
    x = 174,182.73

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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.