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Finding the Fourth Proportional to 186,462.94, 257,337.42 and 113,861.82

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Solution

The fourth proportional to 186,462.94, 257,337.42 and 113,861.82 is: 157,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,462.94 : 257,337.42 = 113,861.82 : x
  2. Step 2: Convert to fraction form
    186,462.94/257,337.42 = 113,861.82/x
  3. Step 3: Cross multiply
    186,462.94x = 257,337.42 × 113,861.82
  4. Step 4: Simplify right side
    186,462.94x = 29,300,906,995.30
  5. Step 5: Solve for x
    x = 29,300,906,995.30/186,462.94
  6. Step 6: Final answer
    x = 157,140.65

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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.