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Finding the Fourth Proportional to 123,906.30, 185,866.53 and 35,152.80

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Solution

The fourth proportional to 123,906.30, 185,866.53 and 35,152.80 is: 52,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,906.30 : 185,866.53 = 35,152.80 : x
  2. Step 2: Convert to fraction form
    123,906.30/185,866.53 = 35,152.80/x
  3. Step 3: Cross multiply
    123,906.30x = 185,866.53 × 35,152.80
  4. Step 4: Simplify right side
    123,906.30x = 6,533,728,955.78
  5. Step 5: Solve for x
    x = 6,533,728,955.78/123,906.30
  6. Step 6: Final answer
    x = 52,731.21

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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.