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Finding the Fourth Proportional to 186,809.64, 257,797.26 and 101,927.04

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Solution

The fourth proportional to 186,809.64, 257,797.26 and 101,927.04 is: 140,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,809.64 : 257,797.26 = 101,927.04 : x
  2. Step 2: Convert to fraction form
    186,809.64/257,797.26 = 101,927.04/x
  3. Step 3: Cross multiply
    186,809.64x = 257,797.26 × 101,927.04
  4. Step 4: Simplify right side
    186,809.64x = 26,276,511,631.91
  5. Step 5: Solve for x
    x = 26,276,511,631.91/186,809.64
  6. Step 6: Final answer
    x = 140,659.29

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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.