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Finding the Fourth Proportional to 206,794.94, 285,356.86 and 116,130.29

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Solution

The fourth proportional to 206,794.94, 285,356.86 and 116,130.29 is: 160,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,794.94 : 285,356.86 = 116,130.29 : x
  2. Step 2: Convert to fraction form
    206,794.94/285,356.86 = 116,130.29/x
  3. Step 3: Cross multiply
    206,794.94x = 285,356.86 × 116,130.29
  4. Step 4: Simplify right side
    206,794.94x = 33,138,573,188.18
  5. Step 5: Solve for x
    x = 33,138,573,188.18/206,794.94
  6. Step 6: Final answer
    x = 160,248.48

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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.