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Finding the Fourth Proportional to 109,222.88, 163,836.48 and 46,893.92

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Solution

The fourth proportional to 109,222.88, 163,836.48 and 46,893.92 is: 70,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,222.88 : 163,836.48 = 46,893.92 : x
  2. Step 2: Convert to fraction form
    109,222.88/163,836.48 = 46,893.92/x
  3. Step 3: Cross multiply
    109,222.88x = 163,836.48 × 46,893.92
  4. Step 4: Simplify right side
    109,222.88x = 7,682,934,786.20
  5. Step 5: Solve for x
    x = 7,682,934,786.20/109,222.88
  6. Step 6: Final answer
    x = 70,341.81

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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.