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Finding the Fourth Proportional to 213,564.34, 294,707.01 and 118,065.34

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Solution

The fourth proportional to 213,564.34, 294,707.01 and 118,065.34 is: 162,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,564.34 : 294,707.01 = 118,065.34 : x
  2. Step 2: Convert to fraction form
    213,564.34/294,707.01 = 118,065.34/x
  3. Step 3: Cross multiply
    213,564.34x = 294,707.01 × 118,065.34
  4. Step 4: Simplify right side
    213,564.34x = 34,794,683,336.03
  5. Step 5: Solve for x
    x = 34,794,683,336.03/213,564.34
  6. Step 6: Final answer
    x = 162,923.66

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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.