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Finding the Fourth Proportional to 190,953, 263,515.32 and 106,077.96

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Solution

The fourth proportional to 190,953, 263,515.32 and 106,077.96 is: 146,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,953 : 263,515.32 = 106,077.96 : x
  2. Step 2: Convert to fraction form
    190,953/263,515.32 = 106,077.96/x
  3. Step 3: Cross multiply
    190,953x = 263,515.32 × 106,077.96
  4. Step 4: Simplify right side
    190,953x = 27,953,167,574.35
  5. Step 5: Solve for x
    x = 27,953,167,574.35/190,953
  6. Step 6: Final answer
    x = 146,387.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.