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Finding the Fourth Proportional to 183,500, 253,230.42 and 107,071.64

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Solution

The fourth proportional to 183,500, 253,230.42 and 107,071.64 is: 147,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,500 : 253,230.42 = 107,071.64 : x
  2. Step 2: Convert to fraction form
    183,500/253,230.42 = 107,071.64/x
  3. Step 3: Cross multiply
    183,500x = 253,230.42 × 107,071.64
  4. Step 4: Simplify right side
    183,500x = 27,113,796,367.29
  5. Step 5: Solve for x
    x = 27,113,796,367.29/183,500
  6. Step 6: Final answer
    x = 147,759.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.