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Finding the Fourth Proportional to 234,258.12, 323,270.22 and 130,893.12

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Solution

The fourth proportional to 234,258.12, 323,270.22 and 130,893.12 is: 180,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,258.12 : 323,270.22 = 130,893.12 : x
  2. Step 2: Convert to fraction form
    234,258.12/323,270.22 = 130,893.12/x
  3. Step 3: Cross multiply
    234,258.12x = 323,270.22 × 130,893.12
  4. Step 4: Simplify right side
    234,258.12x = 42,313,847,698.89
  5. Step 5: Solve for x
    x = 42,313,847,698.89/234,258.12
  6. Step 6: Final answer
    x = 180,629.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.