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Finding the Fourth Proportional to 186,589.28, 257,493.29 and 106,016.91

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Solution

The fourth proportional to 186,589.28, 257,493.29 and 106,016.91 is: 146,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,589.28 : 257,493.29 = 106,016.91 : x
  2. Step 2: Convert to fraction form
    186,589.28/257,493.29 = 106,016.91/x
  3. Step 3: Cross multiply
    186,589.28x = 257,493.29 × 106,016.91
  4. Step 4: Simplify right side
    186,589.28x = 27,298,642,421.45
  5. Step 5: Solve for x
    x = 27,298,642,421.45/186,589.28
  6. Step 6: Final answer
    x = 146,303.38

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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.