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Finding the Fourth Proportional to 189,849, 285,290.84 and 101,165.88

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Solution

The fourth proportional to 189,849, 285,290.84 and 101,165.88 is: 152,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,849 : 285,290.84 = 101,165.88 : x
  2. Step 2: Convert to fraction form
    189,849/285,290.84 = 101,165.88/x
  3. Step 3: Cross multiply
    189,849x = 285,290.84 × 101,165.88
  4. Step 4: Simplify right side
    189,849x = 28,861,698,884.54
  5. Step 5: Solve for x
    x = 28,861,698,884.54/189,849
  6. Step 6: Final answer
    x = 152,024.50

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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.