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Finding the Fourth Proportional to 154,416.29, 213,106.65 and 113,766.29

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Solution

The fourth proportional to 154,416.29, 213,106.65 and 113,766.29 is: 157,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,416.29 : 213,106.65 = 113,766.29 : x
  2. Step 2: Convert to fraction form
    154,416.29/213,106.65 = 113,766.29/x
  3. Step 3: Cross multiply
    154,416.29x = 213,106.65 × 113,766.29
  4. Step 4: Simplify right side
    154,416.29x = 24,244,351,879.30
  5. Step 5: Solve for x
    x = 24,244,351,879.30/154,416.29
  6. Step 6: Final answer
    x = 157,006.44

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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.