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Finding the Fourth Proportional to 197,889.44, 296,837.40 and 57,655.76

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Solution

The fourth proportional to 197,889.44, 296,837.40 and 57,655.76 is: 86,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,889.44 : 296,837.40 = 57,655.76 : x
  2. Step 2: Convert to fraction form
    197,889.44/296,837.40 = 57,655.76/x
  3. Step 3: Cross multiply
    197,889.44x = 296,837.40 × 57,655.76
  4. Step 4: Simplify right side
    197,889.44x = 17,114,385,893.42
  5. Step 5: Solve for x
    x = 17,114,385,893.42/197,889.44
  6. Step 6: Final answer
    x = 86,484.58

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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.