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Finding the Fourth Proportional to 275,196.70, 412,836.06 and 97,688.85

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Solution

The fourth proportional to 275,196.70, 412,836.06 and 97,688.85 is: 146,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,196.70 : 412,836.06 = 97,688.85 : x
  2. Step 2: Convert to fraction form
    275,196.70/412,836.06 = 97,688.85/x
  3. Step 3: Cross multiply
    275,196.70x = 412,836.06 × 97,688.85
  4. Step 4: Simplify right side
    275,196.70x = 40,329,479,939.93
  5. Step 5: Solve for x
    x = 40,329,479,939.93/275,196.70
  6. Step 6: Final answer
    x = 146,547.83

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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.