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Finding the Fourth Proportional to 357,993.44, 537,096.72 and 147,644

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Solution

The fourth proportional to 357,993.44, 537,096.72 and 147,644 is: 221,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,993.44 : 537,096.72 = 147,644 : x
  2. Step 2: Convert to fraction form
    357,993.44/537,096.72 = 147,644/x
  3. Step 3: Cross multiply
    357,993.44x = 537,096.72 × 147,644
  4. Step 4: Simplify right side
    357,993.44x = 79,299,108,127.68
  5. Step 5: Solve for x
    x = 79,299,108,127.68/357,993.44
  6. Step 6: Final answer
    x = 221,509.95

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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.