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Finding the Fourth Proportional to 213,235.23, 294,258.94 and 117,739.87

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Solution

The fourth proportional to 213,235.23, 294,258.94 and 117,739.87 is: 162,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,235.23 : 294,258.94 = 117,739.87 : x
  2. Step 2: Convert to fraction form
    213,235.23/294,258.94 = 117,739.87/x
  3. Step 3: Cross multiply
    213,235.23x = 294,258.94 × 117,739.87
  4. Step 4: Simplify right side
    213,235.23x = 34,646,009,341.94
  5. Step 5: Solve for x
    x = 34,646,009,341.94/213,235.23
  6. Step 6: Final answer
    x = 162,477.89

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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.