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Finding the Fourth Proportional to 189,507.40, 283,886.70 and 96,080.20

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Solution

The fourth proportional to 189,507.40, 283,886.70 and 96,080.20 is: 143,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,507.40 : 283,886.70 = 96,080.20 : x
  2. Step 2: Convert to fraction form
    189,507.40/283,886.70 = 96,080.20/x
  3. Step 3: Cross multiply
    189,507.40x = 283,886.70 × 96,080.20
  4. Step 4: Simplify right side
    189,507.40x = 27,275,890,913.34
  5. Step 5: Solve for x
    x = 27,275,890,913.34/189,507.40
  6. Step 6: Final answer
    x = 143,930.48

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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.