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Finding the Fourth Proportional to 218,096.40, 327,101.40 and 105,776.40

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Solution

The fourth proportional to 218,096.40, 327,101.40 and 105,776.40 is: 158,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,096.40 : 327,101.40 = 105,776.40 : x
  2. Step 2: Convert to fraction form
    218,096.40/327,101.40 = 105,776.40/x
  3. Step 3: Cross multiply
    218,096.40x = 327,101.40 × 105,776.40
  4. Step 4: Simplify right side
    218,096.40x = 34,599,608,526.96
  5. Step 5: Solve for x
    x = 34,599,608,526.96/218,096.40
  6. Step 6: Final answer
    x = 158,643.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.