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Finding the Fourth Proportional to 164,511, 227,026.80 and 89,061.12

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Solution

The fourth proportional to 164,511, 227,026.80 and 89,061.12 is: 122,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,511 : 227,026.80 = 89,061.12 : x
  2. Step 2: Convert to fraction form
    164,511/227,026.80 = 89,061.12/x
  3. Step 3: Cross multiply
    164,511x = 227,026.80 × 89,061.12
  4. Step 4: Simplify right side
    164,511x = 20,219,261,078.02
  5. Step 5: Solve for x
    x = 20,219,261,078.02/164,511
  6. Step 6: Final answer
    x = 122,905.22

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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.