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Finding the Fourth Proportional to 128,811.97, 177,745.53 and 71,437.38

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Solution

The fourth proportional to 128,811.97, 177,745.53 and 71,437.38 is: 98,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,811.97 : 177,745.53 = 71,437.38 : x
  2. Step 2: Convert to fraction form
    128,811.97/177,745.53 = 71,437.38/x
  3. Step 3: Cross multiply
    128,811.97x = 177,745.53 × 71,437.38
  4. Step 4: Simplify right side
    128,811.97x = 12,697,674,969.91
  5. Step 5: Solve for x
    x = 12,697,674,969.91/128,811.97
  6. Step 6: Final answer
    x = 98,575.27

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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.