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Finding the Fourth Proportional to 140,494.41, 210,686.14 and 56,238.86

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Solution

The fourth proportional to 140,494.41, 210,686.14 and 56,238.86 is: 84,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.41 : 210,686.14 = 56,238.86 : x
  2. Step 2: Convert to fraction form
    140,494.41/210,686.14 = 56,238.86/x
  3. Step 3: Cross multiply
    140,494.41x = 210,686.14 × 56,238.86
  4. Step 4: Simplify right side
    140,494.41x = 11,848,748,717.52
  5. Step 5: Solve for x
    x = 11,848,748,717.52/140,494.41
  6. Step 6: Final answer
    x = 84,336.09

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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.