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Finding the Fourth Proportional to 189,066.40, 283,599.60 and 165,738.40

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Solution

The fourth proportional to 189,066.40, 283,599.60 and 165,738.40 is: 248,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066.40 : 283,599.60 = 165,738.40 : x
  2. Step 2: Convert to fraction form
    189,066.40/283,599.60 = 165,738.40/x
  3. Step 3: Cross multiply
    189,066.40x = 283,599.60 × 165,738.40
  4. Step 4: Simplify right side
    189,066.40x = 47,003,343,944.64
  5. Step 5: Solve for x
    x = 47,003,343,944.64/189,066.40
  6. Step 6: Final answer
    x = 248,607.60

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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.