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Finding the Fourth Proportional to 186,658.56, 257,601.06 and 106,086.24

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Solution

The fourth proportional to 186,658.56, 257,601.06 and 106,086.24 is: 146,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,658.56 : 257,601.06 = 106,086.24 : x
  2. Step 2: Convert to fraction form
    186,658.56/257,601.06 = 106,086.24/x
  3. Step 3: Cross multiply
    186,658.56x = 257,601.06 × 106,086.24
  4. Step 4: Simplify right side
    186,658.56x = 27,327,927,875.41
  5. Step 5: Solve for x
    x = 27,327,927,875.41/186,658.56
  6. Step 6: Final answer
    x = 146,405.97

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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.