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Finding the Fourth Proportional to 213,081.48, 294,059.51 and 116,290.64

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Solution

The fourth proportional to 213,081.48, 294,059.51 and 116,290.64 is: 160,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,081.48 : 294,059.51 = 116,290.64 : x
  2. Step 2: Convert to fraction form
    213,081.48/294,059.51 = 116,290.64/x
  3. Step 3: Cross multiply
    213,081.48x = 294,059.51 × 116,290.64
  4. Step 4: Simplify right side
    213,081.48x = 34,196,366,564.24
  5. Step 5: Solve for x
    x = 34,196,366,564.24/213,081.48
  6. Step 6: Final answer
    x = 160,484.93

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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.