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Finding the Fourth Proportional to 203,220.40, 304,502.55 and 128,206.30

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Solution

The fourth proportional to 203,220.40, 304,502.55 and 128,206.30 is: 192,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,220.40 : 304,502.55 = 128,206.30 : x
  2. Step 2: Convert to fraction form
    203,220.40/304,502.55 = 128,206.30/x
  3. Step 3: Cross multiply
    203,220.40x = 304,502.55 × 128,206.30
  4. Step 4: Simplify right side
    203,220.40x = 39,039,145,276.07
  5. Step 5: Solve for x
    x = 39,039,145,276.07/203,220.40
  6. Step 6: Final answer
    x = 192,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.