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Finding the Fourth Proportional to 196,100.40, 293,940 and 77,607.12

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Solution

The fourth proportional to 196,100.40, 293,940 and 77,607.12 is: 116,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,100.40 : 293,940 = 77,607.12 : x
  2. Step 2: Convert to fraction form
    196,100.40/293,940 = 77,607.12/x
  3. Step 3: Cross multiply
    196,100.40x = 293,940 × 77,607.12
  4. Step 4: Simplify right side
    196,100.40x = 22,811,836,852.80
  5. Step 5: Solve for x
    x = 22,811,836,852.80/196,100.40
  6. Step 6: Final answer
    x = 116,327.33

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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.