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Finding the Fourth Proportional to 197,299.47, 296,023.73 and 118,468.47

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Solution

The fourth proportional to 197,299.47, 296,023.73 and 118,468.47 is: 177,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,299.47 : 296,023.73 = 118,468.47 : x
  2. Step 2: Convert to fraction form
    197,299.47/296,023.73 = 118,468.47/x
  3. Step 3: Cross multiply
    197,299.47x = 296,023.73 × 118,468.47
  4. Step 4: Simplify right side
    197,299.47x = 35,069,477,784.45
  5. Step 5: Solve for x
    x = 35,069,477,784.45/197,299.47
  6. Step 6: Final answer
    x = 177,747.45

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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.