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Finding the Fourth Proportional to 194,969.82, 292,454.73 and 70,310.82

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Solution

The fourth proportional to 194,969.82, 292,454.73 and 70,310.82 is: 105,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969.82 : 292,454.73 = 70,310.82 : x
  2. Step 2: Convert to fraction form
    194,969.82/292,454.73 = 70,310.82/x
  3. Step 3: Cross multiply
    194,969.82x = 292,454.73 × 70,310.82
  4. Step 4: Simplify right side
    194,969.82x = 20,562,731,879.18
  5. Step 5: Solve for x
    x = 20,562,731,879.18/194,969.82
  6. Step 6: Final answer
    x = 105,466.23

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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.