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Finding the Fourth Proportional to 164,299.68, 226,733.36 and 88,848

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Solution

The fourth proportional to 164,299.68, 226,733.36 and 88,848 is: 122,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,299.68 : 226,733.36 = 88,848 : x
  2. Step 2: Convert to fraction form
    164,299.68/226,733.36 = 88,848/x
  3. Step 3: Cross multiply
    164,299.68x = 226,733.36 × 88,848
  4. Step 4: Simplify right side
    164,299.68x = 20,144,805,569.28
  5. Step 5: Solve for x
    x = 20,144,805,569.28/164,299.68
  6. Step 6: Final answer
    x = 122,610.13

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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.