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Finding the Fourth Proportional to 145,771.38, 201,165.22 and 82,110.18

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Solution

The fourth proportional to 145,771.38, 201,165.22 and 82,110.18 is: 113,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,771.38 : 201,165.22 = 82,110.18 : x
  2. Step 2: Convert to fraction form
    145,771.38/201,165.22 = 82,110.18/x
  3. Step 3: Cross multiply
    145,771.38x = 201,165.22 × 82,110.18
  4. Step 4: Simplify right side
    145,771.38x = 16,517,712,423.94
  5. Step 5: Solve for x
    x = 16,517,712,423.94/145,771.38
  6. Step 6: Final answer
    x = 113,312.45

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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.