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Finding the Fourth Proportional to 189,506.37, 261,530.74 and 108,946.41

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Solution

The fourth proportional to 189,506.37, 261,530.74 and 108,946.41 is: 150,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,506.37 : 261,530.74 = 108,946.41 : x
  2. Step 2: Convert to fraction form
    189,506.37/261,530.74 = 108,946.41/x
  3. Step 3: Cross multiply
    189,506.37x = 261,530.74 × 108,946.41
  4. Step 4: Simplify right side
    189,506.37x = 28,492,835,227.64
  5. Step 5: Solve for x
    x = 28,492,835,227.64/189,506.37
  6. Step 6: Final answer
    x = 150,352.92

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Why These Related Problems?

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