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Finding the Fourth Proportional to 107,237.88, 147,991.32 and 58,842

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Solution

The fourth proportional to 107,237.88, 147,991.32 and 58,842 is: 81,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,237.88 : 147,991.32 = 58,842 : x
  2. Step 2: Convert to fraction form
    107,237.88/147,991.32 = 58,842/x
  3. Step 3: Cross multiply
    107,237.88x = 147,991.32 × 58,842
  4. Step 4: Simplify right side
    107,237.88x = 8,708,105,251.44
  5. Step 5: Solve for x
    x = 8,708,105,251.44/107,237.88
  6. Step 6: Final answer
    x = 81,203.63

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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.