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Finding the Fourth Proportional to 123,953.15, 185,914.74 and 34,003.19

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Solution

The fourth proportional to 123,953.15, 185,914.74 and 34,003.19 is: 51,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,953.15 : 185,914.74 = 34,003.19 : x
  2. Step 2: Convert to fraction form
    123,953.15/185,914.74 = 34,003.19/x
  3. Step 3: Cross multiply
    123,953.15x = 185,914.74 × 34,003.19
  4. Step 4: Simplify right side
    123,953.15x = 6,321,694,228.02
  5. Step 5: Solve for x
    x = 6,321,694,228.02/123,953.15
  6. Step 6: Final answer
    x = 51,000.67

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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.