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Finding the Fourth Proportional to 121,855.50, 182,658.62 and 46,946.30

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Solution

The fourth proportional to 121,855.50, 182,658.62 and 46,946.30 is: 70,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,855.50 : 182,658.62 = 46,946.30 : x
  2. Step 2: Convert to fraction form
    121,855.50/182,658.62 = 46,946.30/x
  3. Step 3: Cross multiply
    121,855.50x = 182,658.62 × 46,946.30
  4. Step 4: Simplify right side
    121,855.50x = 8,575,145,576.18
  5. Step 5: Solve for x
    x = 8,575,145,576.18/121,855.50
  6. Step 6: Final answer
    x = 70,371.43

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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.