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Finding the Fourth Proportional to 197,732.34, 296,649.12 and 57,490.98

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Solution

The fourth proportional to 197,732.34, 296,649.12 and 57,490.98 is: 86,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,732.34 : 296,649.12 = 57,490.98 : x
  2. Step 2: Convert to fraction form
    197,732.34/296,649.12 = 57,490.98/x
  3. Step 3: Cross multiply
    197,732.34x = 296,649.12 × 57,490.98
  4. Step 4: Simplify right side
    197,732.34x = 17,054,648,624.94
  5. Step 5: Solve for x
    x = 17,054,648,624.94/197,732.34
  6. Step 6: Final answer
    x = 86,251.18

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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.