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Finding the Fourth Proportional to 189,209.63, 283,493.28 and 114,172.10

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Solution

The fourth proportional to 189,209.63, 283,493.28 and 114,172.10 is: 171,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,209.63 : 283,493.28 = 114,172.10 : x
  2. Step 2: Convert to fraction form
    189,209.63/283,493.28 = 114,172.10/x
  3. Step 3: Cross multiply
    189,209.63x = 283,493.28 × 114,172.10
  4. Step 4: Simplify right side
    189,209.63x = 32,367,023,113.49
  5. Step 5: Solve for x
    x = 32,367,023,113.49/189,209.63
  6. Step 6: Final answer
    x = 171,064.35

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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.