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Finding the Fourth Proportional to 114,930.96, 172,338 and 52,548

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Solution

The fourth proportional to 114,930.96, 172,338 and 52,548 is: 78,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930.96 : 172,338 = 52,548 : x
  2. Step 2: Convert to fraction form
    114,930.96/172,338 = 52,548/x
  3. Step 3: Cross multiply
    114,930.96x = 172,338 × 52,548
  4. Step 4: Simplify right side
    114,930.96x = 9,056,017,224
  5. Step 5: Solve for x
    x = 9,056,017,224/114,930.96
  6. Step 6: Final answer
    x = 78,795.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.