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Finding the Fourth Proportional to 310,549.20, 465,823.80 and 142,069.20

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Solution

The fourth proportional to 310,549.20, 465,823.80 and 142,069.20 is: 213,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,549.20 : 465,823.80 = 142,069.20 : x
  2. Step 2: Convert to fraction form
    310,549.20/465,823.80 = 142,069.20/x
  3. Step 3: Cross multiply
    310,549.20x = 465,823.80 × 142,069.20
  4. Step 4: Simplify right side
    310,549.20x = 66,179,214,606.96
  5. Step 5: Solve for x
    x = 66,179,214,606.96/310,549.20
  6. Step 6: Final answer
    x = 213,103.80

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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.