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Finding the Fourth Proportional to 350,542.88, 525,903.02 and 97,823.34

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Solution

The fourth proportional to 350,542.88, 525,903.02 and 97,823.34 is: 146,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,542.88 : 525,903.02 = 97,823.34 : x
  2. Step 2: Convert to fraction form
    350,542.88/525,903.02 = 97,823.34/x
  3. Step 3: Cross multiply
    350,542.88x = 525,903.02 × 97,823.34
  4. Step 4: Simplify right side
    350,542.88x = 51,445,589,932.49
  5. Step 5: Solve for x
    x = 51,445,589,932.49/350,542.88
  6. Step 6: Final answer
    x = 146,759.76

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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.