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Finding the Fourth Proportional to 140,774.95, 211,183.01 and 40,922.16

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Solution

The fourth proportional to 140,774.95, 211,183.01 and 40,922.16 is: 61,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,774.95 : 211,183.01 = 40,922.16 : x
  2. Step 2: Convert to fraction form
    140,774.95/211,183.01 = 40,922.16/x
  3. Step 3: Cross multiply
    140,774.95x = 211,183.01 × 40,922.16
  4. Step 4: Simplify right side
    140,774.95x = 8,642,064,719.89
  5. Step 5: Solve for x
    x = 8,642,064,719.89/140,774.95
  6. Step 6: Final answer
    x = 61,389.22

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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.