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Finding the Fourth Proportional to 275,314.10, 412,873.95 and 97,826.90

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Solution

The fourth proportional to 275,314.10, 412,873.95 and 97,826.90 is: 146,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,314.10 : 412,873.95 = 97,826.90 : x
  2. Step 2: Convert to fraction form
    275,314.10/412,873.95 = 97,826.90/x
  3. Step 3: Cross multiply
    275,314.10x = 412,873.95 × 97,826.90
  4. Step 4: Simplify right side
    275,314.10x = 40,390,178,619.26
  5. Step 5: Solve for x
    x = 40,390,178,619.26/275,314.10
  6. Step 6: Final answer
    x = 146,705.81

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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.