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Finding the Fourth Proportional to 355,444.20, 533,166.21 and 142,308

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Solution

The fourth proportional to 355,444.20, 533,166.21 and 142,308 is: 213,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,444.20 : 533,166.21 = 142,308 : x
  2. Step 2: Convert to fraction form
    355,444.20/533,166.21 = 142,308/x
  3. Step 3: Cross multiply
    355,444.20x = 533,166.21 × 142,308
  4. Step 4: Simplify right side
    355,444.20x = 75,873,817,012.68
  5. Step 5: Solve for x
    x = 75,873,817,012.68/355,444.20
  6. Step 6: Final answer
    x = 213,461.96

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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.