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Finding the Fourth Proportional to 213,554.79, 294,779.82 and 122,946.86

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Solution

The fourth proportional to 213,554.79, 294,779.82 and 122,946.86 is: 169,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,554.79 : 294,779.82 = 122,946.86 : x
  2. Step 2: Convert to fraction form
    213,554.79/294,779.82 = 122,946.86/x
  3. Step 3: Cross multiply
    213,554.79x = 294,779.82 × 122,946.86
  4. Step 4: Simplify right side
    213,554.79x = 36,242,253,260.37
  5. Step 5: Solve for x
    x = 36,242,253,260.37/213,554.79
  6. Step 6: Final answer
    x = 169,709.39

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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.