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Finding the Fourth Proportional to 189,241.10, 283,866.77 and 47,080.63

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Solution

The fourth proportional to 189,241.10, 283,866.77 and 47,080.63 is: 70,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,241.10 : 283,866.77 = 47,080.63 : x
  2. Step 2: Convert to fraction form
    189,241.10/283,866.77 = 47,080.63/x
  3. Step 3: Cross multiply
    189,241.10x = 283,866.77 × 47,080.63
  4. Step 4: Simplify right side
    189,241.10x = 13,364,626,840.20
  5. Step 5: Solve for x
    x = 13,364,626,840.20/189,241.10
  6. Step 6: Final answer
    x = 70,622.22

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1.5x scale

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.