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Finding the Fourth Proportional to 97,777.75, 134,933.30 and 53,065.75

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Solution

The fourth proportional to 97,777.75, 134,933.30 and 53,065.75 is: 73,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,777.75 : 134,933.30 = 53,065.75 : x
  2. Step 2: Convert to fraction form
    97,777.75/134,933.30 = 53,065.75/x
  3. Step 3: Cross multiply
    97,777.75x = 134,933.30 × 53,065.75
  4. Step 4: Simplify right side
    97,777.75x = 7,160,336,764.48
  5. Step 5: Solve for x
    x = 7,160,336,764.48/97,777.75
  6. Step 6: Final answer
    x = 73,230.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.