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Finding the Fourth Proportional to 163,992.96, 226,298.88 and 96,912

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Solution

The fourth proportional to 163,992.96, 226,298.88 and 96,912 is: 133,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,992.96 : 226,298.88 = 96,912 : x
  2. Step 2: Convert to fraction form
    163,992.96/226,298.88 = 96,912/x
  3. Step 3: Cross multiply
    163,992.96x = 226,298.88 × 96,912
  4. Step 4: Simplify right side
    163,992.96x = 21,931,077,058.56
  5. Step 5: Solve for x
    x = 21,931,077,058.56/163,992.96
  6. Step 6: Final answer
    x = 133,731.82

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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.