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Finding the Fourth Proportional to 189,000.30, 283,500.45 and 100,208.10

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Solution

The fourth proportional to 189,000.30, 283,500.45 and 100,208.10 is: 150,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000.30 : 283,500.45 = 100,208.10 : x
  2. Step 2: Convert to fraction form
    189,000.30/283,500.45 = 100,208.10/x
  3. Step 3: Cross multiply
    189,000.30x = 283,500.45 × 100,208.10
  4. Step 4: Simplify right side
    189,000.30x = 28,409,041,443.65
  5. Step 5: Solve for x
    x = 28,409,041,443.65/189,000.30
  6. Step 6: Final answer
    x = 150,312.15

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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.