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Finding the Fourth Proportional to 113,796.44, 157,098.11 and 83,135.11

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Solution

The fourth proportional to 113,796.44, 157,098.11 and 83,135.11 is: 114,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,796.44 : 157,098.11 = 83,135.11 : x
  2. Step 2: Convert to fraction form
    113,796.44/157,098.11 = 83,135.11/x
  3. Step 3: Cross multiply
    113,796.44x = 157,098.11 × 83,135.11
  4. Step 4: Simplify right side
    113,796.44x = 13,060,368,375.60
  5. Step 5: Solve for x
    x = 13,060,368,375.60/113,796.44
  6. Step 6: Final answer
    x = 114,769.56

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1.5x scale

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.