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Finding the Fourth Proportional to 140,567, 210,799.74 and 56,346.44

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Solution

The fourth proportional to 140,567, 210,799.74 and 56,346.44 is: 84,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,567 : 210,799.74 = 56,346.44 : x
  2. Step 2: Convert to fraction form
    140,567/210,799.74 = 56,346.44/x
  3. Step 3: Cross multiply
    140,567x = 210,799.74 × 56,346.44
  4. Step 4: Simplify right side
    140,567x = 11,877,814,901.93
  5. Step 5: Solve for x
    x = 11,877,814,901.93/140,567
  6. Step 6: Final answer
    x = 84,499.31

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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.