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Finding the Fourth Proportional to 189,066.30, 283,599.45 and 76,800.30

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Solution

The fourth proportional to 189,066.30, 283,599.45 and 76,800.30 is: 115,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066.30 : 283,599.45 = 76,800.30 : x
  2. Step 2: Convert to fraction form
    189,066.30/283,599.45 = 76,800.30/x
  3. Step 3: Cross multiply
    189,066.30x = 283,599.45 × 76,800.30
  4. Step 4: Simplify right side
    189,066.30x = 21,780,522,839.84
  5. Step 5: Solve for x
    x = 21,780,522,839.84/189,066.30
  6. Step 6: Final answer
    x = 115,200.45

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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.