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Finding the Fourth Proportional to 189,157.46, 282,899.64 and 168,244.34

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Solution

The fourth proportional to 189,157.46, 282,899.64 and 168,244.34 is: 251,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,157.46 : 282,899.64 = 168,244.34 : x
  2. Step 2: Convert to fraction form
    189,157.46/282,899.64 = 168,244.34/x
  3. Step 3: Cross multiply
    189,157.46x = 282,899.64 × 168,244.34
  4. Step 4: Simplify right side
    189,157.46x = 47,596,263,218.04
  5. Step 5: Solve for x
    x = 47,596,263,218.04/189,157.46
  6. Step 6: Final answer
    x = 251,622.45

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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.