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Finding the Fourth Proportional to 195,878.66, 293,645.70 and 77,633.01

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Solution

The fourth proportional to 195,878.66, 293,645.70 and 77,633.01 is: 116,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,878.66 : 293,645.70 = 77,633.01 : x
  2. Step 2: Convert to fraction form
    195,878.66/293,645.70 = 77,633.01/x
  3. Step 3: Cross multiply
    195,878.66x = 293,645.70 × 77,633.01
  4. Step 4: Simplify right side
    195,878.66x = 22,796,599,564.56
  5. Step 5: Solve for x
    x = 22,796,599,564.56/195,878.66
  6. Step 6: Final answer
    x = 116,381.23

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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.