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Finding the Fourth Proportional to 213,090.50, 294,071.94 and 116,299.64

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Solution

The fourth proportional to 213,090.50, 294,071.94 and 116,299.64 is: 160,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.50 : 294,071.94 = 116,299.64 : x
  2. Step 2: Convert to fraction form
    213,090.50/294,071.94 = 116,299.64/x
  3. Step 3: Cross multiply
    213,090.50x = 294,071.94 × 116,299.64
  4. Step 4: Simplify right side
    213,090.50x = 34,200,459,285.74
  5. Step 5: Solve for x
    x = 34,200,459,285.74/213,090.50
  6. Step 6: Final answer
    x = 160,497.35

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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.