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Finding the Fourth Proportional to 309,181.64, 463,794.06 and 98,836.52

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Solution

The fourth proportional to 309,181.64, 463,794.06 and 98,836.52 is: 148,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,181.64 : 463,794.06 = 98,836.52 : x
  2. Step 2: Convert to fraction form
    309,181.64/463,794.06 = 98,836.52/x
  3. Step 3: Cross multiply
    309,181.64x = 463,794.06 × 98,836.52
  4. Step 4: Simplify right side
    309,181.64x = 45,839,790,887.07
  5. Step 5: Solve for x
    x = 45,839,790,887.07/309,181.64
  6. Step 6: Final answer
    x = 148,261.68

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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.