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Finding the Fourth Proportional to 186,349.98, 257,164.56 and 105,777.66

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Solution

The fourth proportional to 186,349.98, 257,164.56 and 105,777.66 is: 145,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,349.98 : 257,164.56 = 105,777.66 : x
  2. Step 2: Convert to fraction form
    186,349.98/257,164.56 = 105,777.66/x
  3. Step 3: Cross multiply
    186,349.98x = 257,164.56 × 105,777.66
  4. Step 4: Simplify right side
    186,349.98x = 27,202,265,391.73
  5. Step 5: Solve for x
    x = 27,202,265,391.73/186,349.98
  6. Step 6: Final answer
    x = 145,974.07

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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.