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Finding the Fourth Proportional to 214,426, 295,714.15 and 133,860.97

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Solution

The fourth proportional to 214,426, 295,714.15 and 133,860.97 is: 184,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,426 : 295,714.15 = 133,860.97 : x
  2. Step 2: Convert to fraction form
    214,426/295,714.15 = 133,860.97/x
  3. Step 3: Cross multiply
    214,426x = 295,714.15 × 133,860.97
  4. Step 4: Simplify right side
    214,426x = 39,584,582,961.73
  5. Step 5: Solve for x
    x = 39,584,582,961.73/214,426
  6. Step 6: Final answer
    x = 184,607.20

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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.