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Finding the Fourth Proportional to 213,286.74, 294,337.45 and 117,795.03

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Solution

The fourth proportional to 213,286.74, 294,337.45 and 117,795.03 is: 162,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,286.74 : 294,337.45 = 117,795.03 : x
  2. Step 2: Convert to fraction form
    213,286.74/294,337.45 = 117,795.03/x
  3. Step 3: Cross multiply
    213,286.74x = 294,337.45 × 117,795.03
  4. Step 4: Simplify right side
    213,286.74x = 34,671,487,133.75
  5. Step 5: Solve for x
    x = 34,671,487,133.75/213,286.74
  6. Step 6: Final answer
    x = 162,558.10

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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.