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Finding the Fourth Proportional to 310,096.80, 465,145.20 and 85,456.80

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Solution

The fourth proportional to 310,096.80, 465,145.20 and 85,456.80 is: 128,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,096.80 : 465,145.20 = 85,456.80 : x
  2. Step 2: Convert to fraction form
    310,096.80/465,145.20 = 85,456.80/x
  3. Step 3: Cross multiply
    310,096.80x = 465,145.20 × 85,456.80
  4. Step 4: Simplify right side
    310,096.80x = 39,749,820,327.36
  5. Step 5: Solve for x
    x = 39,749,820,327.36/310,096.80
  6. Step 6: Final answer
    x = 128,185.20

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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.