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Finding the Fourth Proportional to 145,524.08, 200,821.40 and 81,862.32

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Solution

The fourth proportional to 145,524.08, 200,821.40 and 81,862.32 is: 112,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524.08 : 200,821.40 = 81,862.32 : x
  2. Step 2: Convert to fraction form
    145,524.08/200,821.40 = 81,862.32/x
  3. Step 3: Cross multiply
    145,524.08x = 200,821.40 × 81,862.32
  4. Step 4: Simplify right side
    145,524.08x = 16,439,705,709.65
  5. Step 5: Solve for x
    x = 16,439,705,709.65/145,524.08
  6. Step 6: Final answer
    x = 112,968.97

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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.