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Finding the Fourth Proportional to 119,158.25, 178,463.99 and 69,114.22

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Solution

The fourth proportional to 119,158.25, 178,463.99 and 69,114.22 is: 103,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.25 : 178,463.99 = 69,114.22 : x
  2. Step 2: Convert to fraction form
    119,158.25/178,463.99 = 69,114.22/x
  3. Step 3: Cross multiply
    119,158.25x = 178,463.99 × 69,114.22
  4. Step 4: Simplify right side
    119,158.25x = 12,334,399,193.56
  5. Step 5: Solve for x
    x = 12,334,399,193.56/119,158.25
  6. Step 6: Final answer
    x = 103,512.76

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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.