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Finding the Fourth Proportional to 197,617.47, 296,473.44 and 64,497.98

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Solution

The fourth proportional to 197,617.47, 296,473.44 and 64,497.98 is: 96,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,617.47 : 296,473.44 = 64,497.98 : x
  2. Step 2: Convert to fraction form
    197,617.47/296,473.44 = 64,497.98/x
  3. Step 3: Cross multiply
    197,617.47x = 296,473.44 × 64,497.98
  4. Step 4: Simplify right side
    197,617.47x = 19,121,936,521.28
  5. Step 5: Solve for x
    x = 19,121,936,521.28/197,617.47
  6. Step 6: Final answer
    x = 96,762.38

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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.