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Finding the Fourth Proportional to 213,084.22, 294,166.77 and 155,659.06

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Solution

The fourth proportional to 213,084.22, 294,166.77 and 155,659.06 is: 214,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,084.22 : 294,166.77 = 155,659.06 : x
  2. Step 2: Convert to fraction form
    213,084.22/294,166.77 = 155,659.06/x
  3. Step 3: Cross multiply
    213,084.22x = 294,166.77 × 155,659.06
  4. Step 4: Simplify right side
    213,084.22x = 45,789,721,430.60
  5. Step 5: Solve for x
    x = 45,789,721,430.60/213,084.22
  6. Step 6: Final answer
    x = 214,890.26

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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.