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Finding the Fourth Proportional to 164,099.84, 226,458 and 88,648.34

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Solution

The fourth proportional to 164,099.84, 226,458 and 88,648.34 is: 122,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,099.84 : 226,458 = 88,648.34 : x
  2. Step 2: Convert to fraction form
    164,099.84/226,458 = 88,648.34/x
  3. Step 3: Cross multiply
    164,099.84x = 226,458 × 88,648.34
  4. Step 4: Simplify right side
    164,099.84x = 20,075,125,779.72
  5. Step 5: Solve for x
    x = 20,075,125,779.72/164,099.84
  6. Step 6: Final answer
    x = 122,334.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.