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Finding the Fourth Proportional to 355,442.70, 533,163.96 and 142,306.50

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Solution

The fourth proportional to 355,442.70, 533,163.96 and 142,306.50 is: 213,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,442.70 : 533,163.96 = 142,306.50 : x
  2. Step 2: Convert to fraction form
    355,442.70/533,163.96 = 142,306.50/x
  3. Step 3: Cross multiply
    355,442.70x = 533,163.96 × 142,306.50
  4. Step 4: Simplify right side
    355,442.70x = 75,872,697,073.74
  5. Step 5: Solve for x
    x = 75,872,697,073.74/355,442.70
  6. Step 6: Final answer
    x = 213,459.71

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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.