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Finding the Fourth Proportional to 152,104, 209,904.24 and 85,048.96

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Solution

The fourth proportional to 152,104, 209,904.24 and 85,048.96 is: 117,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,104 : 209,904.24 = 85,048.96 : x
  2. Step 2: Convert to fraction form
    152,104/209,904.24 = 85,048.96/x
  3. Step 3: Cross multiply
    152,104x = 209,904.24 × 85,048.96
  4. Step 4: Simplify right side
    152,104x = 17,852,137,311.59
  5. Step 5: Solve for x
    x = 17,852,137,311.59/152,104
  6. Step 6: Final answer
    x = 117,367.97

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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.