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Finding the Fourth Proportional to 214,018.34, 295,278.35 and 123,361.92

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Solution

The fourth proportional to 214,018.34, 295,278.35 and 123,361.92 is: 170,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,018.34 : 295,278.35 = 123,361.92 : x
  2. Step 2: Convert to fraction form
    214,018.34/295,278.35 = 123,361.92/x
  3. Step 3: Cross multiply
    214,018.34x = 295,278.35 × 123,361.92
  4. Step 4: Simplify right side
    214,018.34x = 36,426,103,573.62
  5. Step 5: Solve for x
    x = 36,426,103,573.62/214,018.34
  6. Step 6: Final answer
    x = 170,200.85

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