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Finding the Fourth Proportional to 198,804.16, 298,215.60 and 65,696.32

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Solution

The fourth proportional to 198,804.16, 298,215.60 and 65,696.32 is: 98,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,804.16 : 298,215.60 = 65,696.32 : x
  2. Step 2: Convert to fraction form
    198,804.16/298,215.60 = 65,696.32/x
  3. Step 3: Cross multiply
    198,804.16x = 298,215.60 × 65,696.32
  4. Step 4: Simplify right side
    198,804.16x = 19,591,667,486.59
  5. Step 5: Solve for x
    x = 19,591,667,486.59/198,804.16
  6. Step 6: Final answer
    x = 98,547.57

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1.5x scale

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.