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Finding the Fourth Proportional to 207,193.16, 285,951.86 and 116,552.94

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Solution

The fourth proportional to 207,193.16, 285,951.86 and 116,552.94 is: 160,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,193.16 : 285,951.86 = 116,552.94 : x
  2. Step 2: Convert to fraction form
    207,193.16/285,951.86 = 116,552.94/x
  3. Step 3: Cross multiply
    207,193.16x = 285,951.86 × 116,552.94
  4. Step 4: Simplify right side
    207,193.16x = 33,328,529,398.70
  5. Step 5: Solve for x
    x = 33,328,529,398.70/207,193.16
  6. Step 6: Final answer
    x = 160,857.29

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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.