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Finding the Fourth Proportional to 186,343.92, 257,157.73 and 105,773.93

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Solution

The fourth proportional to 186,343.92, 257,157.73 and 105,773.93 is: 145,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,343.92 : 257,157.73 = 105,773.93 : x
  2. Step 2: Convert to fraction form
    186,343.92/257,157.73 = 105,773.93/x
  3. Step 3: Cross multiply
    186,343.92x = 257,157.73 × 105,773.93
  4. Step 4: Simplify right side
    186,343.92x = 27,200,583,731.98
  5. Step 5: Solve for x
    x = 27,200,583,731.98/186,343.92
  6. Step 6: Final answer
    x = 145,969.79

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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.