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Finding the Fourth Proportional to 145,671.84, 201,046.32 and 82,022.04

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Solution

The fourth proportional to 145,671.84, 201,046.32 and 82,022.04 is: 113,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,671.84 : 201,046.32 = 82,022.04 : x
  2. Step 2: Convert to fraction form
    145,671.84/201,046.32 = 82,022.04/x
  3. Step 3: Cross multiply
    145,671.84x = 201,046.32 × 82,022.04
  4. Step 4: Simplify right side
    145,671.84x = 16,490,229,300.89
  5. Step 5: Solve for x
    x = 16,490,229,300.89/145,671.84
  6. Step 6: Final answer
    x = 113,201.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.