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Finding the Fourth Proportional to 119,096.96, 164,343.44 and 65,381.76

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Solution

The fourth proportional to 119,096.96, 164,343.44 and 65,381.76 is: 90,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,096.96 : 164,343.44 = 65,381.76 : x
  2. Step 2: Convert to fraction form
    119,096.96/164,343.44 = 65,381.76/x
  3. Step 3: Cross multiply
    119,096.96x = 164,343.44 × 65,381.76
  4. Step 4: Simplify right side
    119,096.96x = 10,745,063,351.65
  5. Step 5: Solve for x
    x = 10,745,063,351.65/119,096.96
  6. Step 6: Final answer
    x = 90,221.14

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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.