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Finding the Fourth Proportional to 140,161.90, 210,270.54 and 51,416.17

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Solution

The fourth proportional to 140,161.90, 210,270.54 and 51,416.17 is: 77,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,161.90 : 210,270.54 = 51,416.17 : x
  2. Step 2: Convert to fraction form
    140,161.90/210,270.54 = 51,416.17/x
  3. Step 3: Cross multiply
    140,161.90x = 210,270.54 × 51,416.17
  4. Step 4: Simplify right side
    140,161.90x = 10,811,305,830.63
  5. Step 5: Solve for x
    x = 10,811,305,830.63/140,161.90
  6. Step 6: Final answer
    x = 77,134.41

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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.