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Finding the Fourth Proportional to 206,967.06, 285,606.45 and 116,326.98

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Solution

The fourth proportional to 206,967.06, 285,606.45 and 116,326.98 is: 160,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967.06 : 285,606.45 = 116,326.98 : x
  2. Step 2: Convert to fraction form
    206,967.06/285,606.45 = 116,326.98/x
  3. Step 3: Cross multiply
    206,967.06x = 285,606.45 × 116,326.98
  4. Step 4: Simplify right side
    206,967.06x = 33,223,735,797.02
  5. Step 5: Solve for x
    x = 33,223,735,797.02/206,967.06
  6. Step 6: Final answer
    x = 160,526.68

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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.