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Finding the Fourth Proportional to 214,373.48, 295,814.21 and 123,758.78

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Solution

The fourth proportional to 214,373.48, 295,814.21 and 123,758.78 is: 170,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,373.48 : 295,814.21 = 123,758.78 : x
  2. Step 2: Convert to fraction form
    214,373.48/295,814.21 = 123,758.78/x
  3. Step 3: Cross multiply
    214,373.48x = 295,814.21 × 123,758.78
  4. Step 4: Simplify right side
    214,373.48x = 36,609,603,638.40
  5. Step 5: Solve for x
    x = 36,609,603,638.40/214,373.48
  6. Step 6: Final answer
    x = 170,774.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.