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Finding the Fourth Proportional to 141,200, 211,755.12 and 46,408.32

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Solution

The fourth proportional to 141,200, 211,755.12 and 46,408.32 is: 69,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,200 : 211,755.12 = 46,408.32 : x
  2. Step 2: Convert to fraction form
    141,200/211,755.12 = 46,408.32/x
  3. Step 3: Cross multiply
    141,200x = 211,755.12 × 46,408.32
  4. Step 4: Simplify right side
    141,200x = 9,827,199,370.60
  5. Step 5: Solve for x
    x = 9,827,199,370.60/141,200
  6. Step 6: Final answer
    x = 69,597.73

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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.