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Finding the Fourth Proportional to 248,083.86, 342,370.68 and 146,177.25

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Solution

The fourth proportional to 248,083.86, 342,370.68 and 146,177.25 is: 201,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,083.86 : 342,370.68 = 146,177.25 : x
  2. Step 2: Convert to fraction form
    248,083.86/342,370.68 = 146,177.25/x
  3. Step 3: Cross multiply
    248,083.86x = 342,370.68 × 146,177.25
  4. Step 4: Simplify right side
    248,083.86x = 50,046,804,483.03
  5. Step 5: Solve for x
    x = 50,046,804,483.03/248,083.86
  6. Step 6: Final answer
    x = 201,733.42

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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.