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Finding the Fourth Proportional to 213,086.72, 294,051.04 and 117,592.16

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Solution

The fourth proportional to 213,086.72, 294,051.04 and 117,592.16 is: 162,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,086.72 : 294,051.04 = 117,592.16 : x
  2. Step 2: Convert to fraction form
    213,086.72/294,051.04 = 117,592.16/x
  3. Step 3: Cross multiply
    213,086.72x = 294,051.04 × 117,592.16
  4. Step 4: Simplify right side
    213,086.72x = 34,578,096,943.85
  5. Step 5: Solve for x
    x = 34,578,096,943.85/213,086.72
  6. Step 6: Final answer
    x = 162,272.42

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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.