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Finding the Fourth Proportional to 189,203.80, 283,416.90 and 95,762.20

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Solution

The fourth proportional to 189,203.80, 283,416.90 and 95,762.20 is: 143,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,203.80 : 283,416.90 = 95,762.20 : x
  2. Step 2: Convert to fraction form
    189,203.80/283,416.90 = 95,762.20/x
  3. Step 3: Cross multiply
    189,203.80x = 283,416.90 × 95,762.20
  4. Step 4: Simplify right side
    189,203.80x = 27,140,625,861.18
  5. Step 5: Solve for x
    x = 27,140,625,861.18/189,203.80
  6. Step 6: Final answer
    x = 143,446.52

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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.