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Finding the Fourth Proportional to 114,853.68, 172,266.84 and 30,620.16

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Solution

The fourth proportional to 114,853.68, 172,266.84 and 30,620.16 is: 45,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,853.68 : 172,266.84 = 30,620.16 : x
  2. Step 2: Convert to fraction form
    114,853.68/172,266.84 = 30,620.16/x
  3. Step 3: Cross multiply
    114,853.68x = 172,266.84 × 30,620.16
  4. Step 4: Simplify right side
    114,853.68x = 5,274,838,203.49
  5. Step 5: Solve for x
    x = 5,274,838,203.49/114,853.68
  6. Step 6: Final answer
    x = 45,926.59

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