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Finding the Fourth Proportional to 145,453.68, 200,728.80 and 85,029.48

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Solution

The fourth proportional to 145,453.68, 200,728.80 and 85,029.48 is: 117,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453.68 : 200,728.80 = 85,029.48 : x
  2. Step 2: Convert to fraction form
    145,453.68/200,728.80 = 85,029.48/x
  3. Step 3: Cross multiply
    145,453.68x = 200,728.80 × 85,029.48
  4. Step 4: Simplify right side
    145,453.68x = 17,067,865,485.02
  5. Step 5: Solve for x
    x = 17,067,865,485.02/145,453.68
  6. Step 6: Final answer
    x = 117,342.27

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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.