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Finding the Fourth Proportional to 222,848.94, 334,296.82 and 65,077.82

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Solution

The fourth proportional to 222,848.94, 334,296.82 and 65,077.82 is: 97,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,848.94 : 334,296.82 = 65,077.82 : x
  2. Step 2: Convert to fraction form
    222,848.94/334,296.82 = 65,077.82/x
  3. Step 3: Cross multiply
    222,848.94x = 334,296.82 × 65,077.82
  4. Step 4: Simplify right side
    222,848.94x = 21,755,308,278.53
  5. Step 5: Solve for x
    x = 21,755,308,278.53/222,848.94
  6. Step 6: Final answer
    x = 97,623.57

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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.