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Finding the Fourth Proportional to 213,388.98, 294,451.70 and 117,889.98

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Solution

The fourth proportional to 213,388.98, 294,451.70 and 117,889.98 is: 162,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,388.98 : 294,451.70 = 117,889.98 : x
  2. Step 2: Convert to fraction form
    213,388.98/294,451.70 = 117,889.98/x
  3. Step 3: Cross multiply
    213,388.98x = 294,451.70 × 117,889.98
  4. Step 4: Simplify right side
    213,388.98x = 34,712,904,434.52
  5. Step 5: Solve for x
    x = 34,712,904,434.52/213,388.98
  6. Step 6: Final answer
    x = 162,674.31

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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.