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Finding the Fourth Proportional to 203,802.17, 305,542.46 and 128,764.17

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Solution

The fourth proportional to 203,802.17, 305,542.46 and 128,764.17 is: 193,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,802.17 : 305,542.46 = 128,764.17 : x
  2. Step 2: Convert to fraction form
    203,802.17/305,542.46 = 128,764.17/x
  3. Step 3: Cross multiply
    203,802.17x = 305,542.46 × 128,764.17
  4. Step 4: Simplify right side
    203,802.17x = 39,342,920,617.84
  5. Step 5: Solve for x
    x = 39,342,920,617.84/203,802.17
  6. Step 6: Final answer
    x = 193,044.66

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1.5x scale

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.