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Finding the Fourth Proportional to 165,266, 228,667.56 and 144,089.36

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Solution

The fourth proportional to 165,266, 228,667.56 and 144,089.36 is: 199,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,266 : 228,667.56 = 144,089.36 : x
  2. Step 2: Convert to fraction form
    165,266/228,667.56 = 144,089.36/x
  3. Step 3: Cross multiply
    165,266x = 228,667.56 × 144,089.36
  4. Step 4: Simplify right side
    165,266x = 32,948,562,373.16
  5. Step 5: Solve for x
    x = 32,948,562,373.16/165,266
  6. Step 6: Final answer
    x = 199,366.85

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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.