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Finding the Fourth Proportional to 189,314.40, 283,730.40 and 100,610.40

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Solution

The fourth proportional to 189,314.40, 283,730.40 and 100,610.40 is: 150,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,314.40 : 283,730.40 = 100,610.40 : x
  2. Step 2: Convert to fraction form
    189,314.40/283,730.40 = 100,610.40/x
  3. Step 3: Cross multiply
    189,314.40x = 283,730.40 × 100,610.40
  4. Step 4: Simplify right side
    189,314.40x = 28,546,229,036.16
  5. Step 5: Solve for x
    x = 28,546,229,036.16/189,314.40
  6. Step 6: Final answer
    x = 150,787.42

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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.