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Finding the Fourth Proportional to 186,560.97, 257,460.17 and 105,987.03

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Solution

The fourth proportional to 186,560.97, 257,460.17 and 105,987.03 is: 146,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,560.97 : 257,460.17 = 105,987.03 : x
  2. Step 2: Convert to fraction form
    186,560.97/257,460.17 = 105,987.03/x
  3. Step 3: Cross multiply
    186,560.97x = 257,460.17 × 105,987.03
  4. Step 4: Simplify right side
    186,560.97x = 27,287,438,231.66
  5. Step 5: Solve for x
    x = 27,287,438,231.66/186,560.97
  6. Step 6: Final answer
    x = 146,265.53

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1.5x scale

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.