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Finding the Fourth Proportional to 114,074.33, 171,054.38 and 35,178.30

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Solution

The fourth proportional to 114,074.33, 171,054.38 and 35,178.30 is: 52,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,074.33 : 171,054.38 = 35,178.30 : x
  2. Step 2: Convert to fraction form
    114,074.33/171,054.38 = 35,178.30/x
  3. Step 3: Cross multiply
    114,074.33x = 171,054.38 × 35,178.30
  4. Step 4: Simplify right side
    114,074.33x = 6,017,402,295.95
  5. Step 5: Solve for x
    x = 6,017,402,295.95/114,074.33
  6. Step 6: Final answer
    x = 52,749.84

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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.