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Finding the Fourth Proportional to 206,675.67, 285,196.65 and 116,014.13

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Solution

The fourth proportional to 206,675.67, 285,196.65 and 116,014.13 is: 160,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,675.67 : 285,196.65 = 116,014.13 : x
  2. Step 2: Convert to fraction form
    206,675.67/285,196.65 = 116,014.13/x
  3. Step 3: Cross multiply
    206,675.67x = 285,196.65 × 116,014.13
  4. Step 4: Simplify right side
    206,675.67x = 33,086,839,802.68
  5. Step 5: Solve for x
    x = 33,086,839,802.68/206,675.67
  6. Step 6: Final answer
    x = 160,090.64

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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.