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Finding the Fourth Proportional to 194,967.06, 292,543.58 and 106,218.60

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Solution

The fourth proportional to 194,967.06, 292,543.58 and 106,218.60 is: 159,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967.06 : 292,543.58 = 106,218.60 : x
  2. Step 2: Convert to fraction form
    194,967.06/292,543.58 = 106,218.60/x
  3. Step 3: Cross multiply
    194,967.06x = 292,543.58 × 106,218.60
  4. Step 4: Simplify right side
    194,967.06x = 31,073,568,975.50
  5. Step 5: Solve for x
    x = 31,073,568,975.50/194,967.06
  6. Step 6: Final answer
    x = 159,378.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.