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Finding the Fourth Proportional to 107,742.88, 148,684.80 and 59,996.80

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Solution

The fourth proportional to 107,742.88, 148,684.80 and 59,996.80 is: 82,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,742.88 : 148,684.80 = 59,996.80 : x
  2. Step 2: Convert to fraction form
    107,742.88/148,684.80 = 59,996.80/x
  3. Step 3: Cross multiply
    107,742.88x = 148,684.80 × 59,996.80
  4. Step 4: Simplify right side
    107,742.88x = 8,920,612,208.64
  5. Step 5: Solve for x
    x = 8,920,612,208.64/107,742.88
  6. Step 6: Final answer
    x = 82,795.38

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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.