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Finding the Fourth Proportional to 200,046, 300,071.88 and 52,302

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Solution

The fourth proportional to 200,046, 300,071.88 and 52,302 is: 78,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,046 : 300,071.88 = 52,302 : x
  2. Step 2: Convert to fraction form
    200,046/300,071.88 = 52,302/x
  3. Step 3: Cross multiply
    200,046x = 300,071.88 × 52,302
  4. Step 4: Simplify right side
    200,046x = 15,694,359,467.76
  5. Step 5: Solve for x
    x = 15,694,359,467.76/200,046
  6. Step 6: Final answer
    x = 78,453.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.