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Finding the Fourth Proportional to 115,993.76, 174,032.01 and 71,568.77

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Solution

The fourth proportional to 115,993.76, 174,032.01 and 71,568.77 is: 107,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,993.76 : 174,032.01 = 71,568.77 : x
  2. Step 2: Convert to fraction form
    115,993.76/174,032.01 = 71,568.77/x
  3. Step 3: Cross multiply
    115,993.76x = 174,032.01 × 71,568.77
  4. Step 4: Simplify right side
    115,993.76x = 12,455,256,026.17
  5. Step 5: Solve for x
    x = 12,455,256,026.17/115,993.76
  6. Step 6: Final answer
    x = 107,378.68

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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.