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Finding the Fourth Proportional to 197,807.34, 296,757.68 and 64,687.08

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Solution

The fourth proportional to 197,807.34, 296,757.68 and 64,687.08 is: 97,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,807.34 : 296,757.68 = 64,687.08 : x
  2. Step 2: Convert to fraction form
    197,807.34/296,757.68 = 64,687.08/x
  3. Step 3: Cross multiply
    197,807.34x = 296,757.68 × 64,687.08
  4. Step 4: Simplify right side
    197,807.34x = 19,196,387,786.77
  5. Step 5: Solve for x
    x = 19,196,387,786.77/197,807.34
  6. Step 6: Final answer
    x = 97,045.88

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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.