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Finding the Fourth Proportional to 264,557.36, 396,710.76 and 102,527.24

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Solution

The fourth proportional to 264,557.36, 396,710.76 and 102,527.24 is: 153,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,557.36 : 396,710.76 = 102,527.24 : x
  2. Step 2: Convert to fraction form
    264,557.36/396,710.76 = 102,527.24/x
  3. Step 3: Cross multiply
    264,557.36x = 396,710.76 × 102,527.24
  4. Step 4: Simplify right side
    264,557.36x = 40,673,659,301.10
  5. Step 5: Solve for x
    x = 40,673,659,301.10/264,557.36
  6. Step 6: Final answer
    x = 153,742.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.