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Finding the Fourth Proportional to 214,615.34, 321,923.12 and 74,373.98

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Solution

The fourth proportional to 214,615.34, 321,923.12 and 74,373.98 is: 111,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,615.34 : 321,923.12 = 74,373.98 : x
  2. Step 2: Convert to fraction form
    214,615.34/321,923.12 = 74,373.98/x
  3. Step 3: Cross multiply
    214,615.34x = 321,923.12 × 74,373.98
  4. Step 4: Simplify right side
    214,615.34x = 23,942,703,688.42
  5. Step 5: Solve for x
    x = 23,942,703,688.42/214,615.34
  6. Step 6: Final answer
    x = 111,561.01

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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.