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Finding the Fourth Proportional to 264,101.40, 396,152.10 and 164,568.60

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Solution

The fourth proportional to 264,101.40, 396,152.10 and 164,568.60 is: 246,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101.40 : 396,152.10 = 164,568.60 : x
  2. Step 2: Convert to fraction form
    264,101.40/396,152.10 = 164,568.60/x
  3. Step 3: Cross multiply
    264,101.40x = 396,152.10 × 164,568.60
  4. Step 4: Simplify right side
    264,101.40x = 65,194,196,484.06
  5. Step 5: Solve for x
    x = 65,194,196,484.06/264,101.40
  6. Step 6: Final answer
    x = 246,852.90

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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.