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Finding the Fourth Proportional to 213,077.70, 294,040.17 and 117,584.46

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Solution

The fourth proportional to 213,077.70, 294,040.17 and 117,584.46 is: 162,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,077.70 : 294,040.17 = 117,584.46 : x
  2. Step 2: Convert to fraction form
    213,077.70/294,040.17 = 117,584.46/x
  3. Step 3: Cross multiply
    213,077.70x = 294,040.17 × 117,584.46
  4. Step 4: Simplify right side
    213,077.70x = 34,574,554,607.76
  5. Step 5: Solve for x
    x = 34,574,554,607.76/213,077.70
  6. Step 6: Final answer
    x = 162,262.66

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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.