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Finding the Fourth Proportional to 165,265, 228,666.18 and 144,088.36

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Solution

The fourth proportional to 165,265, 228,666.18 and 144,088.36 is: 199,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,265 : 228,666.18 = 144,088.36 : x
  2. Step 2: Convert to fraction form
    165,265/228,666.18 = 144,088.36/x
  3. Step 3: Cross multiply
    165,265x = 228,666.18 × 144,088.36
  4. Step 4: Simplify right side
    165,265x = 32,948,134,863.66
  5. Step 5: Solve for x
    x = 32,948,134,863.66/165,265
  6. Step 6: Final answer
    x = 199,365.47

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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.