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Finding the Fourth Proportional to 200,714.40, 301,071.60 and 82,346.40

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Solution

The fourth proportional to 200,714.40, 301,071.60 and 82,346.40 is: 123,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.40 : 301,071.60 = 82,346.40 : x
  2. Step 2: Convert to fraction form
    200,714.40/301,071.60 = 82,346.40/x
  3. Step 3: Cross multiply
    200,714.40x = 301,071.60 × 82,346.40
  4. Step 4: Simplify right side
    200,714.40x = 24,792,162,402.24
  5. Step 5: Solve for x
    x = 24,792,162,402.24/200,714.40
  6. Step 6: Final answer
    x = 123,519.60

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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.