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Finding the Fourth Proportional to 190,679.40, 286,310.70 and 111,947.40

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Solution

The fourth proportional to 190,679.40, 286,310.70 and 111,947.40 is: 168,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,679.40 : 286,310.70 = 111,947.40 : x
  2. Step 2: Convert to fraction form
    190,679.40/286,310.70 = 111,947.40/x
  3. Step 3: Cross multiply
    190,679.40x = 286,310.70 × 111,947.40
  4. Step 4: Simplify right side
    190,679.40x = 32,051,738,457.18
  5. Step 5: Solve for x
    x = 32,051,738,457.18/190,679.40
  6. Step 6: Final answer
    x = 168,092.30

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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.