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Finding the Fourth Proportional to 186,662.98, 257,585.61 and 106,079.86

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Solution

The fourth proportional to 186,662.98, 257,585.61 and 106,079.86 is: 146,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,662.98 : 257,585.61 = 106,079.86 : x
  2. Step 2: Convert to fraction form
    186,662.98/257,585.61 = 106,079.86/x
  3. Step 3: Cross multiply
    186,662.98x = 257,585.61 × 106,079.86
  4. Step 4: Simplify right side
    186,662.98x = 27,324,645,446.81
  5. Step 5: Solve for x
    x = 27,324,645,446.81/186,662.98
  6. Step 6: Final answer
    x = 146,384.92

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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.