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Finding the Fourth Proportional to 206,840.40, 310,260.72 and 59,096.40

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Solution

The fourth proportional to 206,840.40, 310,260.72 and 59,096.40 is: 88,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.40 : 310,260.72 = 59,096.40 : x
  2. Step 2: Convert to fraction form
    206,840.40/310,260.72 = 59,096.40/x
  3. Step 3: Cross multiply
    206,840.40x = 310,260.72 × 59,096.40
  4. Step 4: Simplify right side
    206,840.40x = 18,335,291,613.41
  5. Step 5: Solve for x
    x = 18,335,291,613.41/206,840.40
  6. Step 6: Final answer
    x = 88,644.63

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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.