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Finding the Fourth Proportional to 140,301.64, 210,446.11 and 51,548.66

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Solution

The fourth proportional to 140,301.64, 210,446.11 and 51,548.66 is: 77,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,301.64 : 210,446.11 = 51,548.66 : x
  2. Step 2: Convert to fraction form
    140,301.64/210,446.11 = 51,548.66/x
  3. Step 3: Cross multiply
    140,301.64x = 210,446.11 × 51,548.66
  4. Step 4: Simplify right side
    140,301.64x = 10,848,214,972.71
  5. Step 5: Solve for x
    x = 10,848,214,972.71/140,301.64
  6. Step 6: Final answer
    x = 77,320.66

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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.