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Finding the Fourth Proportional to 197,547.82, 296,250.64 and 85,179.76

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Solution

The fourth proportional to 197,547.82, 296,250.64 and 85,179.76 is: 127,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,547.82 : 296,250.64 = 85,179.76 : x
  2. Step 2: Convert to fraction form
    197,547.82/296,250.64 = 85,179.76/x
  3. Step 3: Cross multiply
    197,547.82x = 296,250.64 × 85,179.76
  4. Step 4: Simplify right side
    197,547.82x = 25,234,557,461.47
  5. Step 5: Solve for x
    x = 25,234,557,461.47/197,547.82
  6. Step 6: Final answer
    x = 127,738.98

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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.