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Finding the Fourth Proportional to 246,825.20, 369,978.60 and 97,007.60

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Solution

The fourth proportional to 246,825.20, 369,978.60 and 97,007.60 is: 145,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,825.20 : 369,978.60 = 97,007.60 : x
  2. Step 2: Convert to fraction form
    246,825.20/369,978.60 = 97,007.60/x
  3. Step 3: Cross multiply
    246,825.20x = 369,978.60 × 97,007.60
  4. Step 4: Simplify right side
    246,825.20x = 35,890,736,037.36
  5. Step 5: Solve for x
    x = 35,890,736,037.36/246,825.20
  6. Step 6: Final answer
    x = 145,409.53

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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.