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Finding the Fourth Proportional to 210,277.08, 315,414 and 52,504.47

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Solution

The fourth proportional to 210,277.08, 315,414 and 52,504.47 is: 78,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,277.08 : 315,414 = 52,504.47 : x
  2. Step 2: Convert to fraction form
    210,277.08/315,414 = 52,504.47/x
  3. Step 3: Cross multiply
    210,277.08x = 315,414 × 52,504.47
  4. Step 4: Simplify right side
    210,277.08x = 16,560,644,900.58
  5. Step 5: Solve for x
    x = 16,560,644,900.58/210,277.08
  6. Step 6: Final answer
    x = 78,756.30

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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.