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Finding the Fourth Proportional to 145,272.68, 200,471.65 and 80,741.60

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Solution

The fourth proportional to 145,272.68, 200,471.65 and 80,741.60 is: 111,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,272.68 : 200,471.65 = 80,741.60 : x
  2. Step 2: Convert to fraction form
    145,272.68/200,471.65 = 80,741.60/x
  3. Step 3: Cross multiply
    145,272.68x = 200,471.65 × 80,741.60
  4. Step 4: Simplify right side
    145,272.68x = 16,186,401,775.64
  5. Step 5: Solve for x
    x = 16,186,401,775.64/145,272.68
  6. Step 6: Final answer
    x = 111,420.82

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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.