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Finding the Fourth Proportional to 165,594.69, 228,397.46 and 105,112.80

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Solution

The fourth proportional to 165,594.69, 228,397.46 and 105,112.80 is: 144,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594.69 : 228,397.46 = 105,112.80 : x
  2. Step 2: Convert to fraction form
    165,594.69/228,397.46 = 105,112.80/x
  3. Step 3: Cross multiply
    165,594.69x = 228,397.46 × 105,112.80
  4. Step 4: Simplify right side
    165,594.69x = 24,007,496,007.92
  5. Step 5: Solve for x
    x = 24,007,496,007.92/165,594.69
  6. Step 6: Final answer
    x = 144,977.45

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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.