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Finding the Fourth Proportional to 264,258.30, 364,591.62 and 147,954.63

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Solution

The fourth proportional to 264,258.30, 364,591.62 and 147,954.63 is: 204,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,258.30 : 364,591.62 = 147,954.63 : x
  2. Step 2: Convert to fraction form
    264,258.30/364,591.62 = 147,954.63/x
  3. Step 3: Cross multiply
    264,258.30x = 364,591.62 × 147,954.63
  4. Step 4: Simplify right side
    264,258.30x = 53,943,018,238.20
  5. Step 5: Solve for x
    x = 53,943,018,238.20/264,258.30
  6. Step 6: Final answer
    x = 204,129.89

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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.