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Finding the Fourth Proportional to 189,048.36, 260,863.02 and 108,465.24

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Solution

The fourth proportional to 189,048.36, 260,863.02 and 108,465.24 is: 149,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,048.36 : 260,863.02 = 108,465.24 : x
  2. Step 2: Convert to fraction form
    189,048.36/260,863.02 = 108,465.24/x
  3. Step 3: Cross multiply
    189,048.36x = 260,863.02 × 108,465.24
  4. Step 4: Simplify right side
    189,048.36x = 28,294,570,071.42
  5. Step 5: Solve for x
    x = 28,294,570,071.42/189,048.36
  6. Step 6: Final answer
    x = 149,668.42

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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.