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Finding the Fourth Proportional to 214,967.16, 319,744.35 and 214,247.88

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Solution

The fourth proportional to 214,967.16, 319,744.35 and 214,247.88 is: 318,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.16 : 319,744.35 = 214,247.88 : x
  2. Step 2: Convert to fraction form
    214,967.16/319,744.35 = 214,247.88/x
  3. Step 3: Cross multiply
    214,967.16x = 319,744.35 × 214,247.88
  4. Step 4: Simplify right side
    214,967.16x = 68,504,549,129.48
  5. Step 5: Solve for x
    x = 68,504,549,129.48/214,967.16
  6. Step 6: Final answer
    x = 318,674.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.