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Finding the Fourth Proportional to 140,809.10, 211,168.99 and 46,017.84

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Solution

The fourth proportional to 140,809.10, 211,168.99 and 46,017.84 is: 69,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,809.10 : 211,168.99 = 46,017.84 : x
  2. Step 2: Convert to fraction form
    140,809.10/211,168.99 = 46,017.84/x
  3. Step 3: Cross multiply
    140,809.10x = 211,168.99 × 46,017.84
  4. Step 4: Simplify right side
    140,809.10x = 9,717,540,794.78
  5. Step 5: Solve for x
    x = 9,717,540,794.78/140,809.10
  6. Step 6: Final answer
    x = 69,012.16

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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.