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Finding the Fourth Proportional to 141,733, 212,609.22 and 46,963

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Solution

The fourth proportional to 141,733, 212,609.22 and 46,963 is: 70,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,733 : 212,609.22 = 46,963 : x
  2. Step 2: Convert to fraction form
    141,733/212,609.22 = 46,963/x
  3. Step 3: Cross multiply
    141,733x = 212,609.22 × 46,963
  4. Step 4: Simplify right side
    141,733x = 9,984,766,798.86
  5. Step 5: Solve for x
    x = 9,984,766,798.86/141,733
  6. Step 6: Final answer
    x = 70,447.72

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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.