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Finding the Fourth Proportional to 105,833.71, 158,537.31 and 70,315.03

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Solution

The fourth proportional to 105,833.71, 158,537.31 and 70,315.03 is: 105,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,833.71 : 158,537.31 = 70,315.03 : x
  2. Step 2: Convert to fraction form
    105,833.71/158,537.31 = 70,315.03/x
  3. Step 3: Cross multiply
    105,833.71x = 158,537.31 × 70,315.03
  4. Step 4: Simplify right side
    105,833.71x = 11,147,555,708.77
  5. Step 5: Solve for x
    x = 11,147,555,708.77/105,833.71
  6. Step 6: Final answer
    x = 105,330.86

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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.