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Finding the Fourth Proportional to 213,306.96, 294,338.42 and 117,807.96

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Solution

The fourth proportional to 213,306.96, 294,338.42 and 117,807.96 is: 162,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,306.96 : 294,338.42 = 117,807.96 : x
  2. Step 2: Convert to fraction form
    213,306.96/294,338.42 = 117,807.96/x
  3. Step 3: Cross multiply
    213,306.96x = 294,338.42 × 117,807.96
  4. Step 4: Simplify right side
    213,306.96x = 34,675,408,809.82
  5. Step 5: Solve for x
    x = 34,675,408,809.82/213,306.96
  6. Step 6: Final answer
    x = 162,561.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.