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Finding the Fourth Proportional to 102,466.92, 141,404.49 and 56,525.54

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Solution

The fourth proportional to 102,466.92, 141,404.49 and 56,525.54 is: 78,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,466.92 : 141,404.49 = 56,525.54 : x
  2. Step 2: Convert to fraction form
    102,466.92/141,404.49 = 56,525.54/x
  3. Step 3: Cross multiply
    102,466.92x = 141,404.49 × 56,525.54
  4. Step 4: Simplify right side
    102,466.92x = 7,992,964,448.65
  5. Step 5: Solve for x
    x = 7,992,964,448.65/102,466.92
  6. Step 6: Final answer
    x = 78,005.31

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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.