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Finding the Fourth Proportional to 107,773.76, 148,676.28 and 83,735.93

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Solution

The fourth proportional to 107,773.76, 148,676.28 and 83,735.93 is: 115,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,773.76 : 148,676.28 = 83,735.93 : x
  2. Step 2: Convert to fraction form
    107,773.76/148,676.28 = 83,735.93/x
  3. Step 3: Cross multiply
    107,773.76x = 148,676.28 × 83,735.93
  4. Step 4: Simplify right side
    107,773.76x = 12,449,546,574.74
  5. Step 5: Solve for x
    x = 12,449,546,574.74/107,773.76
  6. Step 6: Final answer
    x = 115,515.56

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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.