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Finding the Fourth Proportional to 197,608.58, 296,443.86 and 64,458.10

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Solution

The fourth proportional to 197,608.58, 296,443.86 and 64,458.10 is: 96,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,608.58 : 296,443.86 = 64,458.10 : x
  2. Step 2: Convert to fraction form
    197,608.58/296,443.86 = 64,458.10/x
  3. Step 3: Cross multiply
    197,608.58x = 296,443.86 × 64,458.10
  4. Step 4: Simplify right side
    197,608.58x = 19,108,207,972.27
  5. Step 5: Solve for x
    x = 19,108,207,972.27/197,608.58
  6. Step 6: Final answer
    x = 96,697.26

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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.