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Finding the Fourth Proportional to 412,071.96, 618,008.04 and 112,553.94

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Solution

The fourth proportional to 412,071.96, 618,008.04 and 112,553.94 is: 168,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,071.96 : 618,008.04 = 112,553.94 : x
  2. Step 2: Convert to fraction form
    412,071.96/618,008.04 = 112,553.94/x
  3. Step 3: Cross multiply
    412,071.96x = 618,008.04 × 112,553.94
  4. Step 4: Simplify right side
    412,071.96x = 69,559,239,853.68
  5. Step 5: Solve for x
    x = 69,559,239,853.68/412,071.96
  6. Step 6: Final answer
    x = 168,803.62

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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.