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Finding the Fourth Proportional to 140,754.48, 211,015.44 and 65,837.76

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Solution

The fourth proportional to 140,754.48, 211,015.44 and 65,837.76 is: 98,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754.48 : 211,015.44 = 65,837.76 : x
  2. Step 2: Convert to fraction form
    140,754.48/211,015.44 = 65,837.76/x
  3. Step 3: Cross multiply
    140,754.48x = 211,015.44 × 65,837.76
  4. Step 4: Simplify right side
    140,754.48x = 13,892,783,895.01
  5. Step 5: Solve for x
    x = 13,892,783,895.01/140,754.48
  6. Step 6: Final answer
    x = 98,702.25

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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.