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Finding the Fourth Proportional to 231,177, 346,765.50 and 64,965

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Solution

The fourth proportional to 231,177, 346,765.50 and 64,965 is: 97,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,177 : 346,765.50 = 64,965 : x
  2. Step 2: Convert to fraction form
    231,177/346,765.50 = 64,965/x
  3. Step 3: Cross multiply
    231,177x = 346,765.50 × 64,965
  4. Step 4: Simplify right side
    231,177x = 22,527,620,707.50
  5. Step 5: Solve for x
    x = 22,527,620,707.50/231,177
  6. Step 6: Final answer
    x = 97,447.50

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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.