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Finding the Fourth Proportional to 206,690.40, 310,035.60 and 160,034.40

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Solution

The fourth proportional to 206,690.40, 310,035.60 and 160,034.40 is: 240,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,690.40 : 310,035.60 = 160,034.40 : x
  2. Step 2: Convert to fraction form
    206,690.40/310,035.60 = 160,034.40/x
  3. Step 3: Cross multiply
    206,690.40x = 310,035.60 × 160,034.40
  4. Step 4: Simplify right side
    206,690.40x = 49,616,361,224.64
  5. Step 5: Solve for x
    x = 49,616,361,224.64/206,690.40
  6. Step 6: Final answer
    x = 240,051.60

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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.