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Finding the Fourth Proportional to 165,596.69, 228,400.21 and 105,114.80

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Solution

The fourth proportional to 165,596.69, 228,400.21 and 105,114.80 is: 144,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,596.69 : 228,400.21 = 105,114.80 : x
  2. Step 2: Convert to fraction form
    165,596.69/228,400.21 = 105,114.80/x
  3. Step 3: Cross multiply
    165,596.69x = 228,400.21 × 105,114.80
  4. Step 4: Simplify right side
    165,596.69x = 24,008,242,394.11
  5. Step 5: Solve for x
    x = 24,008,242,394.11/165,596.69
  6. Step 6: Final answer
    x = 144,980.21

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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.