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Finding the Fourth Proportional to 122,566.81, 183,802.83 and 47,676.84

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Solution

The fourth proportional to 122,566.81, 183,802.83 and 47,676.84 is: 71,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,566.81 : 183,802.83 = 47,676.84 : x
  2. Step 2: Convert to fraction form
    122,566.81/183,802.83 = 47,676.84/x
  3. Step 3: Cross multiply
    122,566.81x = 183,802.83 × 47,676.84
  4. Step 4: Simplify right side
    122,566.81x = 8,763,137,938.67
  5. Step 5: Solve for x
    x = 8,763,137,938.67/122,566.81
  6. Step 6: Final answer
    x = 71,496.83

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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.