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Finding the Fourth Proportional to 214,891.53, 322,226.06 and 96,460.89

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Solution

The fourth proportional to 214,891.53, 322,226.06 and 96,460.89 is: 144,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.53 : 322,226.06 = 96,460.89 : x
  2. Step 2: Convert to fraction form
    214,891.53/322,226.06 = 96,460.89/x
  3. Step 3: Cross multiply
    214,891.53x = 322,226.06 × 96,460.89
  4. Step 4: Simplify right side
    214,891.53x = 31,082,212,046.49
  5. Step 5: Solve for x
    x = 31,082,212,046.49/214,891.53
  6. Step 6: Final answer
    x = 144,641.40

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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.