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Finding the Fourth Proportional to 206,258.40, 309,387.60 and 123,314.40

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Solution

The fourth proportional to 206,258.40, 309,387.60 and 123,314.40 is: 184,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,258.40 : 309,387.60 = 123,314.40 : x
  2. Step 2: Convert to fraction form
    206,258.40/309,387.60 = 123,314.40/x
  3. Step 3: Cross multiply
    206,258.40x = 309,387.60 × 123,314.40
  4. Step 4: Simplify right side
    206,258.40x = 38,151,946,261.44
  5. Step 5: Solve for x
    x = 38,151,946,261.44/206,258.40
  6. Step 6: Final answer
    x = 184,971.60

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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.