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Finding the Fourth Proportional to 213,417.86, 294,512.37 and 117,922.10

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Solution

The fourth proportional to 213,417.86, 294,512.37 and 117,922.10 is: 162,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,417.86 : 294,512.37 = 117,922.10 : x
  2. Step 2: Convert to fraction form
    213,417.86/294,512.37 = 117,922.10/x
  3. Step 3: Cross multiply
    213,417.86x = 294,512.37 × 117,922.10
  4. Step 4: Simplify right side
    213,417.86x = 34,729,517,146.38
  5. Step 5: Solve for x
    x = 34,729,517,146.38/213,417.86
  6. Step 6: Final answer
    x = 162,730.13

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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.