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Finding the Fourth Proportional to 164,507.96, 227,021.06 and 89,056.46

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Solution

The fourth proportional to 164,507.96, 227,021.06 and 89,056.46 is: 122,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,507.96 : 227,021.06 = 89,056.46 : x
  2. Step 2: Convert to fraction form
    164,507.96/227,021.06 = 89,056.46/x
  3. Step 3: Cross multiply
    164,507.96x = 227,021.06 × 89,056.46
  4. Step 4: Simplify right side
    164,507.96x = 20,217,690,368.66
  5. Step 5: Solve for x
    x = 20,217,690,368.66/164,507.96
  6. Step 6: Final answer
    x = 122,897.95

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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.