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Finding the Fourth Proportional to 220,133.50, 303,784.24 and 119,531.50

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Solution

The fourth proportional to 220,133.50, 303,784.24 and 119,531.50 is: 164,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,133.50 : 303,784.24 = 119,531.50 : x
  2. Step 2: Convert to fraction form
    220,133.50/303,784.24 = 119,531.50/x
  3. Step 3: Cross multiply
    220,133.50x = 303,784.24 × 119,531.50
  4. Step 4: Simplify right side
    220,133.50x = 36,311,785,883.56
  5. Step 5: Solve for x
    x = 36,311,785,883.56/220,133.50
  6. Step 6: Final answer
    x = 164,953.48

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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.