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Finding the Fourth Proportional to 274,671, 412,009.07 and 97,208.10

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Solution

The fourth proportional to 274,671, 412,009.07 and 97,208.10 is: 145,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,671 : 412,009.07 = 97,208.10 : x
  2. Step 2: Convert to fraction form
    274,671/412,009.07 = 97,208.10/x
  3. Step 3: Cross multiply
    274,671x = 412,009.07 × 97,208.10
  4. Step 4: Simplify right side
    274,671x = 40,050,618,391.43
  5. Step 5: Solve for x
    x = 40,050,618,391.43/274,671
  6. Step 6: Final answer
    x = 145,813.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.