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Finding the Fourth Proportional to 160,954.67, 241,437.06 and 76,723.98

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Solution

The fourth proportional to 160,954.67, 241,437.06 and 76,723.98 is: 115,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,954.67 : 241,437.06 = 76,723.98 : x
  2. Step 2: Convert to fraction form
    160,954.67/241,437.06 = 76,723.98/x
  3. Step 3: Cross multiply
    160,954.67x = 241,437.06 × 76,723.98
  4. Step 4: Simplify right side
    160,954.67x = 18,524,012,162.70
  5. Step 5: Solve for x
    x = 18,524,012,162.70/160,954.67
  6. Step 6: Final answer
    x = 115,088.38

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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.