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Finding the Fourth Proportional to 175,633.34, 263,237.84 and 85,541.02

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Solution

The fourth proportional to 175,633.34, 263,237.84 and 85,541.02 is: 128,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,633.34 : 263,237.84 = 85,541.02 : x
  2. Step 2: Convert to fraction form
    175,633.34/263,237.84 = 85,541.02/x
  3. Step 3: Cross multiply
    175,633.34x = 263,237.84 × 85,541.02
  4. Step 4: Simplify right side
    175,633.34x = 22,517,632,250.40
  5. Step 5: Solve for x
    x = 22,517,632,250.40/175,633.34
  6. Step 6: Final answer
    x = 128,208.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.