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Finding the Fourth Proportional to 186,200.73, 256,956.30 and 105,643.80

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Solution

The fourth proportional to 186,200.73, 256,956.30 and 105,643.80 is: 145,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,200.73 : 256,956.30 = 105,643.80 : x
  2. Step 2: Convert to fraction form
    186,200.73/256,956.30 = 105,643.80/x
  3. Step 3: Cross multiply
    186,200.73x = 256,956.30 × 105,643.80
  4. Step 4: Simplify right side
    186,200.73x = 27,145,839,965.94
  5. Step 5: Solve for x
    x = 27,145,839,965.94/186,200.73
  6. Step 6: Final answer
    x = 145,788.04

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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.