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Finding the Fourth Proportional to 206,861.60, 285,506.16 and 121,973.60

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Solution

The fourth proportional to 206,861.60, 285,506.16 and 121,973.60 is: 168,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,861.60 : 285,506.16 = 121,973.60 : x
  2. Step 2: Convert to fraction form
    206,861.60/285,506.16 = 121,973.60/x
  3. Step 3: Cross multiply
    206,861.60x = 285,506.16 × 121,973.60
  4. Step 4: Simplify right side
    206,861.60x = 34,824,214,157.38
  5. Step 5: Solve for x
    x = 34,824,214,157.38/206,861.60
  6. Step 6: Final answer
    x = 168,345.47

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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.