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Finding the Fourth Proportional to 146,199.46, 219,307.02 and 46,367.24

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Solution

The fourth proportional to 146,199.46, 219,307.02 and 46,367.24 is: 69,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,199.46 : 219,307.02 = 46,367.24 : x
  2. Step 2: Convert to fraction form
    146,199.46/219,307.02 = 46,367.24/x
  3. Step 3: Cross multiply
    146,199.46x = 219,307.02 × 46,367.24
  4. Step 4: Simplify right side
    146,199.46x = 10,168,661,230.02
  5. Step 5: Solve for x
    x = 10,168,661,230.02/146,199.46
  6. Step 6: Final answer
    x = 69,553.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.