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Finding the Fourth Proportional to 309,187.40, 463,775.22 and 98,825.27

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Solution

The fourth proportional to 309,187.40, 463,775.22 and 98,825.27 is: 148,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,187.40 : 463,775.22 = 98,825.27 : x
  2. Step 2: Convert to fraction form
    309,187.40/463,775.22 = 98,825.27/x
  3. Step 3: Cross multiply
    309,187.40x = 463,775.22 × 98,825.27
  4. Step 4: Simplify right side
    309,187.40x = 45,832,709,016.93
  5. Step 5: Solve for x
    x = 45,832,709,016.93/309,187.40
  6. Step 6: Final answer
    x = 148,236.02

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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.