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Finding the Fourth Proportional to 307,097.20, 460,937.40 and 188,999.20

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Solution

The fourth proportional to 307,097.20, 460,937.40 and 188,999.20 is: 283,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,097.20 : 460,937.40 = 188,999.20 : x
  2. Step 2: Convert to fraction form
    307,097.20/460,937.40 = 188,999.20/x
  3. Step 3: Cross multiply
    307,097.20x = 460,937.40 × 188,999.20
  4. Step 4: Simplify right side
    307,097.20x = 87,116,799,850.08
  5. Step 5: Solve for x
    x = 87,116,799,850.08/307,097.20
  6. Step 6: Final answer
    x = 283,678.26

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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.