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Finding the Fourth Proportional to 165,415.60, 228,266.94 and 89,964.16

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Solution

The fourth proportional to 165,415.60, 228,266.94 and 89,964.16 is: 124,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,415.60 : 228,266.94 = 89,964.16 : x
  2. Step 2: Convert to fraction form
    165,415.60/228,266.94 = 89,964.16/x
  3. Step 3: Cross multiply
    165,415.60x = 228,266.94 × 89,964.16
  4. Step 4: Simplify right side
    165,415.60x = 20,535,843,512.87
  5. Step 5: Solve for x
    x = 20,535,843,512.87/165,415.60
  6. Step 6: Final answer
    x = 124,146.96

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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.