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Finding the Fourth Proportional to 129,629, 194,462.94 and 46,542.44

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Solution

The fourth proportional to 129,629, 194,462.94 and 46,542.44 is: 69,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,629 : 194,462.94 = 46,542.44 : x
  2. Step 2: Convert to fraction form
    129,629/194,462.94 = 46,542.44/x
  3. Step 3: Cross multiply
    129,629x = 194,462.94 × 46,542.44
  4. Step 4: Simplify right side
    129,629x = 9,050,779,717.17
  5. Step 5: Solve for x
    x = 9,050,779,717.17/129,629
  6. Step 6: Final answer
    x = 69,820.64

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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.