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Finding the Fourth Proportional to 109,896.96, 152,296.32 and 107,796.48

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Solution

The fourth proportional to 109,896.96, 152,296.32 and 107,796.48 is: 149,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.96 : 152,296.32 = 107,796.48 : x
  2. Step 2: Convert to fraction form
    109,896.96/152,296.32 = 107,796.48/x
  3. Step 3: Cross multiply
    109,896.96x = 152,296.32 × 107,796.48
  4. Step 4: Simplify right side
    109,896.96x = 16,417,007,212.95
  5. Step 5: Solve for x
    x = 16,417,007,212.95/109,896.96
  6. Step 6: Final answer
    x = 149,385.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.