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Finding the Fourth Proportional to 206,885.20, 310,327.80 and 101,682.40

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Solution

The fourth proportional to 206,885.20, 310,327.80 and 101,682.40 is: 152,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.20 : 310,327.80 = 101,682.40 : x
  2. Step 2: Convert to fraction form
    206,885.20/310,327.80 = 101,682.40/x
  3. Step 3: Cross multiply
    206,885.20x = 310,327.80 × 101,682.40
  4. Step 4: Simplify right side
    206,885.20x = 31,554,875,490.72
  5. Step 5: Solve for x
    x = 31,554,875,490.72/206,885.20
  6. Step 6: Final answer
    x = 152,523.60

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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.