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Finding the Fourth Proportional to 194,970.96, 292,456.44 and 70,311.96

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Solution

The fourth proportional to 194,970.96, 292,456.44 and 70,311.96 is: 105,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,970.96 : 292,456.44 = 70,311.96 : x
  2. Step 2: Convert to fraction form
    194,970.96/292,456.44 = 70,311.96/x
  3. Step 3: Cross multiply
    194,970.96x = 292,456.44 × 70,311.96
  4. Step 4: Simplify right side
    194,970.96x = 20,563,185,511.02
  5. Step 5: Solve for x
    x = 20,563,185,511.02/194,970.96
  6. Step 6: Final answer
    x = 105,467.94

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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.