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Finding the Fourth Proportional to 197,813.61, 296,711.10 and 64,676.34

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Solution

The fourth proportional to 197,813.61, 296,711.10 and 64,676.34 is: 97,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,813.61 : 296,711.10 = 64,676.34 : x
  2. Step 2: Convert to fraction form
    197,813.61/296,711.10 = 64,676.34/x
  3. Step 3: Cross multiply
    197,813.61x = 296,711.10 × 64,676.34
  4. Step 4: Simplify right side
    197,813.61x = 19,190,187,985.37
  5. Step 5: Solve for x
    x = 19,190,187,985.37/197,813.61
  6. Step 6: Final answer
    x = 97,011.46

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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.