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Finding the Fourth Proportional to 233,105.76, 349,841.52 and 162,525.60

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Solution

The fourth proportional to 233,105.76, 349,841.52 and 162,525.60 is: 243,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,105.76 : 349,841.52 = 162,525.60 : x
  2. Step 2: Convert to fraction form
    233,105.76/349,841.52 = 162,525.60/x
  3. Step 3: Cross multiply
    233,105.76x = 349,841.52 × 162,525.60
  4. Step 4: Simplify right side
    233,105.76x = 56,858,202,942.91
  5. Step 5: Solve for x
    x = 56,858,202,942.91/233,105.76
  6. Step 6: Final answer
    x = 243,915.91

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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.