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Finding the Fourth Proportional to 224,537.60, 336,028.80 and 205,875.20

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Solution

The fourth proportional to 224,537.60, 336,028.80 and 205,875.20 is: 308,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,537.60 : 336,028.80 = 205,875.20 : x
  2. Step 2: Convert to fraction form
    224,537.60/336,028.80 = 205,875.20/x
  3. Step 3: Cross multiply
    224,537.60x = 336,028.80 × 205,875.20
  4. Step 4: Simplify right side
    224,537.60x = 69,179,996,405.76
  5. Step 5: Solve for x
    x = 69,179,996,405.76/224,537.60
  6. Step 6: Final answer
    x = 308,099.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.