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Finding the Fourth Proportional to 213,225.40, 294,255.62 and 117,738.08

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Solution

The fourth proportional to 213,225.40, 294,255.62 and 117,738.08 is: 162,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,225.40 : 294,255.62 = 117,738.08 : x
  2. Step 2: Convert to fraction form
    213,225.40/294,255.62 = 117,738.08/x
  3. Step 3: Cross multiply
    213,225.40x = 294,255.62 × 117,738.08
  4. Step 4: Simplify right side
    213,225.40x = 34,645,091,728.01
  5. Step 5: Solve for x
    x = 34,645,091,728.01/213,225.40
  6. Step 6: Final answer
    x = 162,481.07

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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.