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Finding the Fourth Proportional to 189,000.30, 283,500.45 and 156,195.30

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Solution

The fourth proportional to 189,000.30, 283,500.45 and 156,195.30 is: 234,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000.30 : 283,500.45 = 156,195.30 : x
  2. Step 2: Convert to fraction form
    189,000.30/283,500.45 = 156,195.30/x
  3. Step 3: Cross multiply
    189,000.30x = 283,500.45 × 156,195.30
  4. Step 4: Simplify right side
    189,000.30x = 44,281,437,837.89
  5. Step 5: Solve for x
    x = 44,281,437,837.89/189,000.30
  6. Step 6: Final answer
    x = 234,292.95

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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.