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Finding the Fourth Proportional to 164,675.76, 227,253.36 and 89,224.26

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Solution

The fourth proportional to 164,675.76, 227,253.36 and 89,224.26 is: 123,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,675.76 : 227,253.36 = 89,224.26 : x
  2. Step 2: Convert to fraction form
    164,675.76/227,253.36 = 89,224.26/x
  3. Step 3: Cross multiply
    164,675.76x = 227,253.36 × 89,224.26
  4. Step 4: Simplify right side
    164,675.76x = 20,276,512,878.51
  5. Step 5: Solve for x
    x = 20,276,512,878.51/164,675.76
  6. Step 6: Final answer
    x = 123,129.92

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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.