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Finding the Fourth Proportional to 145,891.59, 201,331.04 and 82,230.45

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Solution

The fourth proportional to 145,891.59, 201,331.04 and 82,230.45 is: 113,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,891.59 : 201,331.04 = 82,230.45 : x
  2. Step 2: Convert to fraction form
    145,891.59/201,331.04 = 82,230.45/x
  3. Step 3: Cross multiply
    145,891.59x = 201,331.04 × 82,230.45
  4. Step 4: Simplify right side
    145,891.59x = 16,555,541,607.02
  5. Step 5: Solve for x
    x = 16,555,541,607.02/145,891.59
  6. Step 6: Final answer
    x = 113,478.38

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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.