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Finding the Fourth Proportional to 189,104.80, 283,268.40 and 130,007.20

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Solution

The fourth proportional to 189,104.80, 283,268.40 and 130,007.20 is: 194,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,104.80 : 283,268.40 = 130,007.20 : x
  2. Step 2: Convert to fraction form
    189,104.80/283,268.40 = 130,007.20/x
  3. Step 3: Cross multiply
    189,104.80x = 283,268.40 × 130,007.20
  4. Step 4: Simplify right side
    189,104.80x = 36,826,931,532.48
  5. Step 5: Solve for x
    x = 36,826,931,532.48/189,104.80
  6. Step 6: Final answer
    x = 194,743.50

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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.