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Finding the Fourth Proportional to 204,513.60, 306,482.40 and 162,465.60

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Solution

The fourth proportional to 204,513.60, 306,482.40 and 162,465.60 is: 243,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,513.60 : 306,482.40 = 162,465.60 : x
  2. Step 2: Convert to fraction form
    204,513.60/306,482.40 = 162,465.60/x
  3. Step 3: Cross multiply
    204,513.60x = 306,482.40 × 162,465.60
  4. Step 4: Simplify right side
    204,513.60x = 49,792,847,005.44
  5. Step 5: Solve for x
    x = 49,792,847,005.44/204,513.60
  6. Step 6: Final answer
    x = 243,469.61

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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.