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Finding the Fourth Proportional to 206,607.14, 310,076.76 and 106,796.58

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Solution

The fourth proportional to 206,607.14, 310,076.76 and 106,796.58 is: 160,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,607.14 : 310,076.76 = 106,796.58 : x
  2. Step 2: Convert to fraction form
    206,607.14/310,076.76 = 106,796.58/x
  3. Step 3: Cross multiply
    206,607.14x = 310,076.76 × 106,796.58
  4. Step 4: Simplify right side
    206,607.14x = 33,115,137,505.48
  5. Step 5: Solve for x
    x = 33,115,137,505.48/206,607.14
  6. Step 6: Final answer
    x = 160,280.70

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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.