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Finding the Fourth Proportional to 113,475.96, 170,364.72 and 96,942.24

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Solution

The fourth proportional to 113,475.96, 170,364.72 and 96,942.24 is: 145,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,475.96 : 170,364.72 = 96,942.24 : x
  2. Step 2: Convert to fraction form
    113,475.96/170,364.72 = 96,942.24/x
  3. Step 3: Cross multiply
    113,475.96x = 170,364.72 × 96,942.24
  4. Step 4: Simplify right side
    113,475.96x = 16,515,537,573.77
  5. Step 5: Solve for x
    x = 16,515,537,573.77/113,475.96
  6. Step 6: Final answer
    x = 145,542.17

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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.