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Finding the Fourth Proportional to 224,248.74, 309,459.30 and 122,275

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Solution

The fourth proportional to 224,248.74, 309,459.30 and 122,275 is: 168,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,248.74 : 309,459.30 = 122,275 : x
  2. Step 2: Convert to fraction form
    224,248.74/309,459.30 = 122,275/x
  3. Step 3: Cross multiply
    224,248.74x = 309,459.30 × 122,275
  4. Step 4: Simplify right side
    224,248.74x = 37,839,135,907.50
  5. Step 5: Solve for x
    x = 37,839,135,907.50/224,248.74
  6. Step 6: Final answer
    x = 168,737.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.