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Finding the Fourth Proportional to 150,283.96, 225,440.96 and 55,539.02

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Solution

The fourth proportional to 150,283.96, 225,440.96 and 55,539.02 is: 83,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,283.96 : 225,440.96 = 55,539.02 : x
  2. Step 2: Convert to fraction form
    150,283.96/225,440.96 = 55,539.02/x
  3. Step 3: Cross multiply
    150,283.96x = 225,440.96 × 55,539.02
  4. Step 4: Simplify right side
    150,283.96x = 12,520,769,986.26
  5. Step 5: Solve for x
    x = 12,520,769,986.26/150,283.96
  6. Step 6: Final answer
    x = 83,314.08

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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.