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Finding the Fourth Proportional to 293,307.25, 404,764.02 and 159,171.25

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Solution

The fourth proportional to 293,307.25, 404,764.02 and 159,171.25 is: 219,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,307.25 : 404,764.02 = 159,171.25 : x
  2. Step 2: Convert to fraction form
    293,307.25/404,764.02 = 159,171.25/x
  3. Step 3: Cross multiply
    293,307.25x = 404,764.02 × 159,171.25
  4. Step 4: Simplify right side
    293,307.25x = 64,426,795,018.43
  5. Step 5: Solve for x
    x = 64,426,795,018.43/293,307.25
  6. Step 6: Final answer
    x = 219,656.33

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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.