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Finding the Fourth Proportional to 122,354.85, 183,599.16 and 47,477.94

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Solution

The fourth proportional to 122,354.85, 183,599.16 and 47,477.94 is: 71,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,354.85 : 183,599.16 = 47,477.94 : x
  2. Step 2: Convert to fraction form
    122,354.85/183,599.16 = 47,477.94/x
  3. Step 3: Cross multiply
    122,354.85x = 183,599.16 × 47,477.94
  4. Step 4: Simplify right side
    122,354.85x = 8,716,909,902.53
  5. Step 5: Solve for x
    x = 8,716,909,902.53/122,354.85
  6. Step 6: Final answer
    x = 71,242.86

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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.