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Finding the Fourth Proportional to 196,002.40, 293,614.80 and 107,125.60

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Solution

The fourth proportional to 196,002.40, 293,614.80 and 107,125.60 is: 160,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,002.40 : 293,614.80 = 107,125.60 : x
  2. Step 2: Convert to fraction form
    196,002.40/293,614.80 = 107,125.60/x
  3. Step 3: Cross multiply
    196,002.40x = 293,614.80 × 107,125.60
  4. Step 4: Simplify right side
    196,002.40x = 31,453,661,618.88
  5. Step 5: Solve for x
    x = 31,453,661,618.88/196,002.40
  6. Step 6: Final answer
    x = 160,475.90

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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.