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Finding the Fourth Proportional to 189,154.46, 282,895.14 and 168,241.34

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Solution

The fourth proportional to 189,154.46, 282,895.14 and 168,241.34 is: 251,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,154.46 : 282,895.14 = 168,241.34 : x
  2. Step 2: Convert to fraction form
    189,154.46/282,895.14 = 168,241.34/x
  3. Step 3: Cross multiply
    189,154.46x = 282,895.14 × 168,241.34
  4. Step 4: Simplify right side
    189,154.46x = 47,594,657,433.09
  5. Step 5: Solve for x
    x = 47,594,657,433.09/189,154.46
  6. Step 6: Final answer
    x = 251,617.95

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Why These Related Problems?

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