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Finding the Fourth Proportional to 213,135.68, 294,134.37 and 116,345.28

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Solution

The fourth proportional to 213,135.68, 294,134.37 and 116,345.28 is: 160,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,135.68 : 294,134.37 = 116,345.28 : x
  2. Step 2: Convert to fraction form
    213,135.68/294,134.37 = 116,345.28/x
  3. Step 3: Cross multiply
    213,135.68x = 294,134.37 × 116,345.28
  4. Step 4: Simplify right side
    213,135.68x = 34,221,145,635.27
  5. Step 5: Solve for x
    x = 34,221,145,635.27/213,135.68
  6. Step 6: Final answer
    x = 160,560.38

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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.