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Finding the Fourth Proportional to 161,048.76, 241,592.34 and 77,883

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Solution

The fourth proportional to 161,048.76, 241,592.34 and 77,883 is: 116,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,048.76 : 241,592.34 = 77,883 : x
  2. Step 2: Convert to fraction form
    161,048.76/241,592.34 = 77,883/x
  3. Step 3: Cross multiply
    161,048.76x = 241,592.34 × 77,883
  4. Step 4: Simplify right side
    161,048.76x = 18,815,936,216.22
  5. Step 5: Solve for x
    x = 18,815,936,216.22/161,048.76
  6. Step 6: Final answer
    x = 116,833.79

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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.