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Finding the Fourth Proportional to 189,205.74, 283,809.73 and 56,087.13

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Solution

The fourth proportional to 189,205.74, 283,809.73 and 56,087.13 is: 84,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,205.74 : 283,809.73 = 56,087.13 : x
  2. Step 2: Convert to fraction form
    189,205.74/283,809.73 = 56,087.13/x
  3. Step 3: Cross multiply
    189,205.74x = 283,809.73 × 56,087.13
  4. Step 4: Simplify right side
    189,205.74x = 15,918,073,221.77
  5. Step 5: Solve for x
    x = 15,918,073,221.77/189,205.74
  6. Step 6: Final answer
    x = 84,131.03

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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.