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Finding the Fourth Proportional to 104,493.50, 144,197.17 and 56,745.82

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Solution

The fourth proportional to 104,493.50, 144,197.17 and 56,745.82 is: 78,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,493.50 : 144,197.17 = 56,745.82 : x
  2. Step 2: Convert to fraction form
    104,493.50/144,197.17 = 56,745.82/x
  3. Step 3: Cross multiply
    104,493.50x = 144,197.17 × 56,745.82
  4. Step 4: Simplify right side
    104,493.50x = 8,182,586,653.33
  5. Step 5: Solve for x
    x = 8,182,586,653.33/104,493.50
  6. Step 6: Final answer
    x = 78,307.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.