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Finding the Fourth Proportional to 189,310.30, 283,965.45 and 177,762.94

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Solution

The fourth proportional to 189,310.30, 283,965.45 and 177,762.94 is: 266,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,310.30 : 283,965.45 = 177,762.94 : x
  2. Step 2: Convert to fraction form
    189,310.30/283,965.45 = 177,762.94/x
  3. Step 3: Cross multiply
    189,310.30x = 283,965.45 × 177,762.94
  4. Step 4: Simplify right side
    189,310.30x = 50,478,533,250.42
  5. Step 5: Solve for x
    x = 50,478,533,250.42/189,310.30
  6. Step 6: Final answer
    x = 266,644.41

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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.