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Finding the Fourth Proportional to 275,061.20, 412,397.40 and 106,516.40

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Solution

The fourth proportional to 275,061.20, 412,397.40 and 106,516.40 is: 159,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,061.20 : 412,397.40 = 106,516.40 : x
  2. Step 2: Convert to fraction form
    275,061.20/412,397.40 = 106,516.40/x
  3. Step 3: Cross multiply
    275,061.20x = 412,397.40 × 106,516.40
  4. Step 4: Simplify right side
    275,061.20x = 43,927,086,417.36
  5. Step 5: Solve for x
    x = 43,927,086,417.36/275,061.20
  6. Step 6: Final answer
    x = 159,699.32

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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.