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Finding the Fourth Proportional to 186,527.44, 257,399.76 and 105,954.76

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Solution

The fourth proportional to 186,527.44, 257,399.76 and 105,954.76 is: 146,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,527.44 : 257,399.76 = 105,954.76 : x
  2. Step 2: Convert to fraction form
    186,527.44/257,399.76 = 105,954.76/x
  3. Step 3: Cross multiply
    186,527.44x = 257,399.76 × 105,954.76
  4. Step 4: Simplify right side
    186,527.44x = 27,272,729,794.86
  5. Step 5: Solve for x
    x = 27,272,729,794.86/186,527.44
  6. Step 6: Final answer
    x = 146,212.96

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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.