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Finding the Fourth Proportional to 200,729.20, 301,093.80 and 52,985.20

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Solution

The fourth proportional to 200,729.20, 301,093.80 and 52,985.20 is: 79,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.20 : 301,093.80 = 52,985.20 : x
  2. Step 2: Convert to fraction form
    200,729.20/301,093.80 = 52,985.20/x
  3. Step 3: Cross multiply
    200,729.20x = 301,093.80 × 52,985.20
  4. Step 4: Simplify right side
    200,729.20x = 15,953,515,211.76
  5. Step 5: Solve for x
    x = 15,953,515,211.76/200,729.20
  6. Step 6: Final answer
    x = 79,477.80

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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.