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Finding the Fourth Proportional to 259,512, 358,127.04 and 140,280

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Solution

The fourth proportional to 259,512, 358,127.04 and 140,280 is: 193,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,512 : 358,127.04 = 140,280 : x
  2. Step 2: Convert to fraction form
    259,512/358,127.04 = 140,280/x
  3. Step 3: Cross multiply
    259,512x = 358,127.04 × 140,280
  4. Step 4: Simplify right side
    259,512x = 50,238,061,171.20
  5. Step 5: Solve for x
    x = 50,238,061,171.20/259,512
  6. Step 6: Final answer
    x = 193,586.66

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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.