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Finding the Fourth Proportional to 186,299.56, 257,128.82 and 105,734.64

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Solution

The fourth proportional to 186,299.56, 257,128.82 and 105,734.64 is: 145,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,299.56 : 257,128.82 = 105,734.64 : x
  2. Step 2: Convert to fraction form
    186,299.56/257,128.82 = 105,734.64/x
  3. Step 3: Cross multiply
    186,299.56x = 257,128.82 × 105,734.64
  4. Step 4: Simplify right side
    186,299.56x = 27,187,423,216.32
  5. Step 5: Solve for x
    x = 27,187,423,216.32/186,299.56
  6. Step 6: Final answer
    x = 145,933.91

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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.