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Finding the Fourth Proportional to 180,061.98, 270,093.09 and 46,941.90

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Solution

The fourth proportional to 180,061.98, 270,093.09 and 46,941.90 is: 70,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,061.98 : 270,093.09 = 46,941.90 : x
  2. Step 2: Convert to fraction form
    180,061.98/270,093.09 = 46,941.90/x
  3. Step 3: Cross multiply
    180,061.98x = 270,093.09 × 46,941.90
  4. Step 4: Simplify right side
    180,061.98x = 12,678,682,821.47
  5. Step 5: Solve for x
    x = 12,678,682,821.47/180,061.98
  6. Step 6: Final answer
    x = 70,412.88

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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.