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Finding the Fourth Proportional to 214,604.92, 321,904.10 and 72,549.98

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Solution

The fourth proportional to 214,604.92, 321,904.10 and 72,549.98 is: 108,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,604.92 : 321,904.10 = 72,549.98 : x
  2. Step 2: Convert to fraction form
    214,604.92/321,904.10 = 72,549.98/x
  3. Step 3: Cross multiply
    214,604.92x = 321,904.10 × 72,549.98
  4. Step 4: Simplify right side
    214,604.92x = 23,354,134,482.46
  5. Step 5: Solve for x
    x = 23,354,134,482.46/214,604.92
  6. Step 6: Final answer
    x = 108,823.86

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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.