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Finding the Fourth Proportional to 190,994.94, 286,314.34 and 64,546.76

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Solution

The fourth proportional to 190,994.94, 286,314.34 and 64,546.76 is: 96,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,994.94 : 286,314.34 = 64,546.76 : x
  2. Step 2: Convert to fraction form
    190,994.94/286,314.34 = 64,546.76/x
  3. Step 3: Cross multiply
    190,994.94x = 286,314.34 × 64,546.76
  4. Step 4: Simplify right side
    190,994.94x = 18,480,663,542.96
  5. Step 5: Solve for x
    x = 18,480,663,542.96/190,994.94
  6. Step 6: Final answer
    x = 96,759.96

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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.