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Finding the Fourth Proportional to 164,820, 227,451.60 and 89,368.48

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Solution

The fourth proportional to 164,820, 227,451.60 and 89,368.48 is: 123,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,820 : 227,451.60 = 89,368.48 : x
  2. Step 2: Convert to fraction form
    164,820/227,451.60 = 89,368.48/x
  3. Step 3: Cross multiply
    164,820x = 227,451.60 × 89,368.48
  4. Step 4: Simplify right side
    164,820x = 20,327,003,765.57
  5. Step 5: Solve for x
    x = 20,327,003,765.57/164,820
  6. Step 6: Final answer
    x = 123,328.50

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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.