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Finding the Fourth Proportional to 231,197.63, 346,796.44 and 64,985.63

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Solution

The fourth proportional to 231,197.63, 346,796.44 and 64,985.63 is: 97,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,197.63 : 346,796.44 = 64,985.63 : x
  2. Step 2: Convert to fraction form
    231,197.63/346,796.44 = 64,985.63/x
  3. Step 3: Cross multiply
    231,197.63x = 346,796.44 × 64,985.63
  4. Step 4: Simplify right side
    231,197.63x = 22,536,783,238.71
  5. Step 5: Solve for x
    x = 22,536,783,238.71/231,197.63
  6. Step 6: Final answer
    x = 97,478.44

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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.