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Finding the Fourth Proportional to 120,911.60, 181,237.80 and 46,002.80

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Solution

The fourth proportional to 120,911.60, 181,237.80 and 46,002.80 is: 68,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,911.60 : 181,237.80 = 46,002.80 : x
  2. Step 2: Convert to fraction form
    120,911.60/181,237.80 = 46,002.80/x
  3. Step 3: Cross multiply
    120,911.60x = 181,237.80 × 46,002.80
  4. Step 4: Simplify right side
    120,911.60x = 8,337,446,265.84
  5. Step 5: Solve for x
    x = 8,337,446,265.84/120,911.60
  6. Step 6: Final answer
    x = 68,954.89

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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.