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Finding the Fourth Proportional to 165,072.46, 228,006.14 and 127,290.82

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Solution

The fourth proportional to 165,072.46, 228,006.14 and 127,290.82 is: 175,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,072.46 : 228,006.14 = 127,290.82 : x
  2. Step 2: Convert to fraction form
    165,072.46/228,006.14 = 127,290.82/x
  3. Step 3: Cross multiply
    165,072.46x = 228,006.14 × 127,290.82
  4. Step 4: Simplify right side
    165,072.46x = 29,023,088,525.63
  5. Step 5: Solve for x
    x = 29,023,088,525.63/165,072.46
  6. Step 6: Final answer
    x = 175,820.29

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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.