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Finding the Fourth Proportional to 140,503, 210,754.62 and 57,397

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Solution

The fourth proportional to 140,503, 210,754.62 and 57,397 is: 86,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,503 : 210,754.62 = 57,397 : x
  2. Step 2: Convert to fraction form
    140,503/210,754.62 = 57,397/x
  3. Step 3: Cross multiply
    140,503x = 210,754.62 × 57,397
  4. Step 4: Simplify right side
    140,503x = 12,096,682,924.14
  5. Step 5: Solve for x
    x = 12,096,682,924.14/140,503
  6. Step 6: Final answer
    x = 86,095.55

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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.