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Finding the Fourth Proportional to 226,652.40, 339,978.60 and 152,002.80

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Solution

The fourth proportional to 226,652.40, 339,978.60 and 152,002.80 is: 228,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,652.40 : 339,978.60 = 152,002.80 : x
  2. Step 2: Convert to fraction form
    226,652.40/339,978.60 = 152,002.80/x
  3. Step 3: Cross multiply
    226,652.40x = 339,978.60 × 152,002.80
  4. Step 4: Simplify right side
    226,652.40x = 51,677,699,140.08
  5. Step 5: Solve for x
    x = 51,677,699,140.08/226,652.40
  6. Step 6: Final answer
    x = 228,004.20

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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.