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Finding the Fourth Proportional to 147,649.37, 203,854.19 and 113,597.78

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Solution

The fourth proportional to 147,649.37, 203,854.19 and 113,597.78 is: 156,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,649.37 : 203,854.19 = 113,597.78 : x
  2. Step 2: Convert to fraction form
    147,649.37/203,854.19 = 113,597.78/x
  3. Step 3: Cross multiply
    147,649.37x = 203,854.19 × 113,597.78
  4. Step 4: Simplify right side
    147,649.37x = 23,157,381,840.44
  5. Step 5: Solve for x
    x = 23,157,381,840.44/147,649.37
  6. Step 6: Final answer
    x = 156,840.38

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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.