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Finding the Fourth Proportional to 145,168.36, 200,282.34 and 81,497.32

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Solution

The fourth proportional to 145,168.36, 200,282.34 and 81,497.32 is: 112,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,168.36 : 200,282.34 = 81,497.32 : x
  2. Step 2: Convert to fraction form
    145,168.36/200,282.34 = 81,497.32/x
  3. Step 3: Cross multiply
    145,168.36x = 200,282.34 × 81,497.32
  4. Step 4: Simplify right side
    145,168.36x = 16,322,473,953.33
  5. Step 5: Solve for x
    x = 16,322,473,953.33/145,168.36
  6. Step 6: Final answer
    x = 112,438.23

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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.