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Finding the Fourth Proportional to 214,967.70, 322,451.55 and 188,723.70

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Solution

The fourth proportional to 214,967.70, 322,451.55 and 188,723.70 is: 283,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.70 : 322,451.55 = 188,723.70 : x
  2. Step 2: Convert to fraction form
    214,967.70/322,451.55 = 188,723.70/x
  3. Step 3: Cross multiply
    214,967.70x = 322,451.55 × 188,723.70
  4. Step 4: Simplify right side
    214,967.70x = 60,854,249,586.74
  5. Step 5: Solve for x
    x = 60,854,249,586.74/214,967.70
  6. Step 6: Final answer
    x = 283,085.55

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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.