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Finding the Fourth Proportional to 150,281.96, 225,437.96 and 55,537.02

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Solution

The fourth proportional to 150,281.96, 225,437.96 and 55,537.02 is: 83,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281.96 : 225,437.96 = 55,537.02 : x
  2. Step 2: Convert to fraction form
    150,281.96/225,437.96 = 55,537.02/x
  3. Step 3: Cross multiply
    150,281.96x = 225,437.96 × 55,537.02
  4. Step 4: Simplify right side
    150,281.96x = 12,520,152,632.12
  5. Step 5: Solve for x
    x = 12,520,152,632.12/150,281.96
  6. Step 6: Final answer
    x = 83,311.08

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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.