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Finding the Fourth Proportional to 197,316.54, 295,984.80 and 96,207.48

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Solution

The fourth proportional to 197,316.54, 295,984.80 and 96,207.48 is: 144,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,316.54 : 295,984.80 = 96,207.48 : x
  2. Step 2: Convert to fraction form
    197,316.54/295,984.80 = 96,207.48/x
  3. Step 3: Cross multiply
    197,316.54x = 295,984.80 × 96,207.48
  4. Step 4: Simplify right side
    197,316.54x = 28,475,951,726.30
  5. Step 5: Solve for x
    x = 28,475,951,726.30/197,316.54
  6. Step 6: Final answer
    x = 144,316.09

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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.