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Finding the Fourth Proportional to 274,665, 412,000.07 and 97,202.10

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Solution

The fourth proportional to 274,665, 412,000.07 and 97,202.10 is: 145,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,665 : 412,000.07 = 97,202.10 : x
  2. Step 2: Convert to fraction form
    274,665/412,000.07 = 97,202.10/x
  3. Step 3: Cross multiply
    274,665x = 412,000.07 × 97,202.10
  4. Step 4: Simplify right side
    274,665x = 40,047,271,518.14
  5. Step 5: Solve for x
    x = 40,047,271,518.14/274,665
  6. Step 6: Final answer
    x = 145,804.06

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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.