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Finding the Fourth Proportional to 197,625.87, 296,447.00 and 57,384.50

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Solution

The fourth proportional to 197,625.87, 296,447.00 and 57,384.50 is: 86,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,625.87 : 296,447.00 = 57,384.50 : x
  2. Step 2: Convert to fraction form
    197,625.87/296,447.00 = 57,384.50/x
  3. Step 3: Cross multiply
    197,625.87x = 296,447.00 × 57,384.50
  4. Step 4: Simplify right side
    197,625.87x = 17,011,461,102.34
  5. Step 5: Solve for x
    x = 17,011,461,102.34/197,625.87
  6. Step 6: Final answer
    x = 86,079.12

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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.