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Finding the Fourth Proportional to 214,258.15, 295,576.86 and 150,633.46

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Solution

The fourth proportional to 214,258.15, 295,576.86 and 150,633.46 is: 207,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,258.15 : 295,576.86 = 150,633.46 : x
  2. Step 2: Convert to fraction form
    214,258.15/295,576.86 = 150,633.46/x
  3. Step 3: Cross multiply
    214,258.15x = 295,576.86 × 150,633.46
  4. Step 4: Simplify right side
    214,258.15x = 44,523,765,117.74
  5. Step 5: Solve for x
    x = 44,523,765,117.74/214,258.15
  6. Step 6: Final answer
    x = 207,804.30

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