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Finding the Fourth Proportional to 190,764.30, 286,276.05 and 106,524.30

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Solution

The fourth proportional to 190,764.30, 286,276.05 and 106,524.30 is: 159,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,764.30 : 286,276.05 = 106,524.30 : x
  2. Step 2: Convert to fraction form
    190,764.30/286,276.05 = 106,524.30/x
  3. Step 3: Cross multiply
    190,764.30x = 286,276.05 × 106,524.30
  4. Step 4: Simplify right side
    190,764.30x = 30,495,355,833.02
  5. Step 5: Solve for x
    x = 30,495,355,833.02/190,764.30
  6. Step 6: Final answer
    x = 159,858.82

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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.