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Finding the Fourth Proportional to 163,978.96, 226,279.56 and 96,898

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Solution

The fourth proportional to 163,978.96, 226,279.56 and 96,898 is: 133,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,978.96 : 226,279.56 = 96,898 : x
  2. Step 2: Convert to fraction form
    163,978.96/226,279.56 = 96,898/x
  3. Step 3: Cross multiply
    163,978.96x = 226,279.56 × 96,898
  4. Step 4: Simplify right side
    163,978.96x = 21,926,036,804.88
  5. Step 5: Solve for x
    x = 21,926,036,804.88/163,978.96
  6. Step 6: Final answer
    x = 133,712.50

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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.