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Finding the Fourth Proportional to 214,942.60, 322,025.10 and 183,838.60

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Solution

The fourth proportional to 214,942.60, 322,025.10 and 183,838.60 is: 275,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,942.60 : 322,025.10 = 183,838.60 : x
  2. Step 2: Convert to fraction form
    214,942.60/322,025.10 = 183,838.60/x
  3. Step 3: Cross multiply
    214,942.60x = 322,025.10 × 183,838.60
  4. Step 4: Simplify right side
    214,942.60x = 59,200,643,548.86
  5. Step 5: Solve for x
    x = 59,200,643,548.86/214,942.60
  6. Step 6: Final answer
    x = 275,425.36

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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.