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Finding the Fourth Proportional to 190,764.80, 286,276.80 and 106,524.80

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Solution

The fourth proportional to 190,764.80, 286,276.80 and 106,524.80 is: 159,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,764.80 : 286,276.80 = 106,524.80 : x
  2. Step 2: Convert to fraction form
    190,764.80/286,276.80 = 106,524.80/x
  3. Step 3: Cross multiply
    190,764.80x = 286,276.80 × 106,524.80
  4. Step 4: Simplify right side
    190,764.80x = 30,495,578,864.64
  5. Step 5: Solve for x
    x = 30,495,578,864.64/190,764.80
  6. Step 6: Final answer
    x = 159,859.57

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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.