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Finding the Fourth Proportional to 145,787.51, 201,182.96 and 82,121.51

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Solution

The fourth proportional to 145,787.51, 201,182.96 and 82,121.51 is: 113,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,787.51 : 201,182.96 = 82,121.51 : x
  2. Step 2: Convert to fraction form
    145,787.51/201,182.96 = 82,121.51/x
  3. Step 3: Cross multiply
    145,787.51x = 201,182.96 × 82,121.51
  4. Step 4: Simplify right side
    145,787.51x = 16,521,448,050.86
  5. Step 5: Solve for x
    x = 16,521,448,050.86/145,787.51
  6. Step 6: Final answer
    x = 113,325.54

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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.