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Finding the Fourth Proportional to 189,206.75, 283,488.95 and 114,169.22

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Solution

The fourth proportional to 189,206.75, 283,488.95 and 114,169.22 is: 171,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,206.75 : 283,488.95 = 114,169.22 : x
  2. Step 2: Convert to fraction form
    189,206.75/283,488.95 = 114,169.22/x
  3. Step 3: Cross multiply
    189,206.75x = 283,488.95 × 114,169.22
  4. Step 4: Simplify right side
    189,206.75x = 32,365,712,300.12
  5. Step 5: Solve for x
    x = 32,365,712,300.12/189,206.75
  6. Step 6: Final answer
    x = 171,060.03

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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.