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Finding the Fourth Proportional to 214,626.80, 322,199.40 and 213,071.60

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Solution

The fourth proportional to 214,626.80, 322,199.40 and 213,071.60 is: 319,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626.80 : 322,199.40 = 213,071.60 : x
  2. Step 2: Convert to fraction form
    214,626.80/322,199.40 = 213,071.60/x
  3. Step 3: Cross multiply
    214,626.80x = 322,199.40 × 213,071.60
  4. Step 4: Simplify right side
    214,626.80x = 68,651,541,677.04
  5. Step 5: Solve for x
    x = 68,651,541,677.04/214,626.80
  6. Step 6: Final answer
    x = 319,864.72

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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.