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Finding the Fourth Proportional to 141,058.49, 194,664.30 and 77,396.27

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Solution

The fourth proportional to 141,058.49, 194,664.30 and 77,396.27 is: 106,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,058.49 : 194,664.30 = 77,396.27 : x
  2. Step 2: Convert to fraction form
    141,058.49/194,664.30 = 77,396.27/x
  3. Step 3: Cross multiply
    141,058.49x = 194,664.30 × 77,396.27
  4. Step 4: Simplify right side
    141,058.49x = 15,066,291,208.82
  5. Step 5: Solve for x
    x = 15,066,291,208.82/141,058.49
  6. Step 6: Final answer
    x = 106,808.82

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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.