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Finding the Fourth Proportional to 101,652.98, 140,269.73 and 56,319.64

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Solution

The fourth proportional to 101,652.98, 140,269.73 and 56,319.64 is: 77,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652.98 : 140,269.73 = 56,319.64 : x
  2. Step 2: Convert to fraction form
    101,652.98/140,269.73 = 56,319.64/x
  3. Step 3: Cross multiply
    101,652.98x = 140,269.73 × 56,319.64
  4. Step 4: Simplify right side
    101,652.98x = 7,899,940,064.22
  5. Step 5: Solve for x
    x = 7,899,940,064.22/101,652.98
  6. Step 6: Final answer
    x = 77,714.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.