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Finding the Fourth Proportional to 141,340.82, 195,054.41 and 77,682.71

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Solution

The fourth proportional to 141,340.82, 195,054.41 and 77,682.71 is: 107,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,340.82 : 195,054.41 = 77,682.71 : x
  2. Step 2: Convert to fraction form
    141,340.82/195,054.41 = 77,682.71/x
  3. Step 3: Cross multiply
    141,340.82x = 195,054.41 × 77,682.71
  4. Step 4: Simplify right side
    141,340.82x = 15,152,355,848.09
  5. Step 5: Solve for x
    x = 15,152,355,848.09/141,340.82
  6. Step 6: Final answer
    x = 107,204.39

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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.