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Finding the Fourth Proportional to 312,200.00, 468,260.50 and 98,969.97

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Solution

The fourth proportional to 312,200.00, 468,260.50 and 98,969.97 is: 148,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200.00 : 468,260.50 = 98,969.97 : x
  2. Step 2: Convert to fraction form
    312,200.00/468,260.50 = 98,969.97/x
  3. Step 3: Cross multiply
    312,200.00x = 468,260.50 × 98,969.97
  4. Step 4: Simplify right side
    312,200.00x = 46,343,728,478.24
  5. Step 5: Solve for x
    x = 46,343,728,478.24/312,200.00
  6. Step 6: Final answer
    x = 148,442.43

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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.