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Finding the Fourth Proportional to 350,456.94, 525,729.13 and 137,197.31

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Solution

The fourth proportional to 350,456.94, 525,729.13 and 137,197.31 is: 205,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,456.94 : 525,729.13 = 137,197.31 : x
  2. Step 2: Convert to fraction form
    350,456.94/525,729.13 = 137,197.31/x
  3. Step 3: Cross multiply
    350,456.94x = 525,729.13 × 137,197.31
  4. Step 4: Simplify right side
    350,456.94x = 72,128,619,453.00
  5. Step 5: Solve for x
    x = 72,128,619,453.00/350,456.94
  6. Step 6: Final answer
    x = 205,813.07

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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.