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Finding the Fourth Proportional to 190,693, 263,156.34 and 105,823.72

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Solution

The fourth proportional to 190,693, 263,156.34 and 105,823.72 is: 146,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,693 : 263,156.34 = 105,823.72 : x
  2. Step 2: Convert to fraction form
    190,693/263,156.34 = 105,823.72/x
  3. Step 3: Cross multiply
    190,693x = 263,156.34 × 105,823.72
  4. Step 4: Simplify right side
    190,693x = 27,848,182,840.38
  5. Step 5: Solve for x
    x = 27,848,182,840.38/190,693
  6. Step 6: Final answer
    x = 146,036.73

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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.