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Finding the Fourth Proportional to 141,058.56, 194,662.14 and 77,398.65

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Solution

The fourth proportional to 141,058.56, 194,662.14 and 77,398.65 is: 106,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,058.56 : 194,662.14 = 77,398.65 : x
  2. Step 2: Convert to fraction form
    141,058.56/194,662.14 = 77,398.65/x
  3. Step 3: Cross multiply
    141,058.56x = 194,662.14 × 77,398.65
  4. Step 4: Simplify right side
    141,058.56x = 15,066,586,842.11
  5. Step 5: Solve for x
    x = 15,066,586,842.11/141,058.56
  6. Step 6: Final answer
    x = 106,810.87

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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.