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Finding the Fourth Proportional to 214,937.70, 322,406.55 and 194,270.55

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Solution

The fourth proportional to 214,937.70, 322,406.55 and 194,270.55 is: 291,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937.70 : 322,406.55 = 194,270.55 : x
  2. Step 2: Convert to fraction form
    214,937.70/322,406.55 = 194,270.55/x
  3. Step 3: Cross multiply
    214,937.70x = 322,406.55 × 194,270.55
  4. Step 4: Simplify right side
    214,937.70x = 62,634,097,792.10
  5. Step 5: Solve for x
    x = 62,634,097,792.10/214,937.70
  6. Step 6: Final answer
    x = 291,405.83

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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.