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Finding the Fourth Proportional to 275,300.10, 412,950.15 and 97,825.05

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Solution

The fourth proportional to 275,300.10, 412,950.15 and 97,825.05 is: 146,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300.10 : 412,950.15 = 97,825.05 : x
  2. Step 2: Convert to fraction form
    275,300.10/412,950.15 = 97,825.05/x
  3. Step 3: Cross multiply
    275,300.10x = 412,950.15 × 97,825.05
  4. Step 4: Simplify right side
    275,300.10x = 40,396,869,071.26
  5. Step 5: Solve for x
    x = 40,396,869,071.26/275,300.10
  6. Step 6: Final answer
    x = 146,737.58

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1.5x scale

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.