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Finding the Fourth Proportional to 267,559.68, 369,236.52 and 146,712

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Solution

The fourth proportional to 267,559.68, 369,236.52 and 146,712 is: 202,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,559.68 : 369,236.52 = 146,712 : x
  2. Step 2: Convert to fraction form
    267,559.68/369,236.52 = 146,712/x
  3. Step 3: Cross multiply
    267,559.68x = 369,236.52 × 146,712
  4. Step 4: Simplify right side
    267,559.68x = 54,171,428,322.24
  5. Step 5: Solve for x
    x = 54,171,428,322.24/267,559.68
  6. Step 6: Final answer
    x = 202,464.84

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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.