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Finding the Fourth Proportional to 197,597.98, 296,397.68 and 47,837.98

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Solution

The fourth proportional to 197,597.98, 296,397.68 and 47,837.98 is: 71,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,597.98 : 296,397.68 = 47,837.98 : x
  2. Step 2: Convert to fraction form
    197,597.98/296,397.68 = 47,837.98/x
  3. Step 3: Cross multiply
    197,597.98x = 296,397.68 × 47,837.98
  4. Step 4: Simplify right side
    197,597.98x = 14,179,066,287.89
  5. Step 5: Solve for x
    x = 14,179,066,287.89/197,597.98
  6. Step 6: Final answer
    x = 71,757.14

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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.