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Finding the Fourth Proportional to 214,050.84, 320,972.70 and 79,023.40

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Solution

The fourth proportional to 214,050.84, 320,972.70 and 79,023.40 is: 118,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,050.84 : 320,972.70 = 79,023.40 : x
  2. Step 2: Convert to fraction form
    214,050.84/320,972.70 = 79,023.40/x
  3. Step 3: Cross multiply
    214,050.84x = 320,972.70 × 79,023.40
  4. Step 4: Simplify right side
    214,050.84x = 25,364,354,061.18
  5. Step 5: Solve for x
    x = 25,364,354,061.18/214,050.84
  6. Step 6: Final answer
    x = 118,496.87

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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.