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Finding the Fourth Proportional to 145,114.08, 200,242 and 81,458.88

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Solution

The fourth proportional to 145,114.08, 200,242 and 81,458.88 is: 112,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,114.08 : 200,242 = 81,458.88 : x
  2. Step 2: Convert to fraction form
    145,114.08/200,242 = 81,458.88/x
  3. Step 3: Cross multiply
    145,114.08x = 200,242 × 81,458.88
  4. Step 4: Simplify right side
    145,114.08x = 16,311,489,048.96
  5. Step 5: Solve for x
    x = 16,311,489,048.96/145,114.08
  6. Step 6: Final answer
    x = 112,404.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.