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Finding the Fourth Proportional to 228,590.34, 315,607.22 and 142,583.83

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Solution

The fourth proportional to 228,590.34, 315,607.22 and 142,583.83 is: 196,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,590.34 : 315,607.22 = 142,583.83 : x
  2. Step 2: Convert to fraction form
    228,590.34/315,607.22 = 142,583.83/x
  3. Step 3: Cross multiply
    228,590.34x = 315,607.22 × 142,583.83
  4. Step 4: Simplify right side
    228,590.34x = 45,000,485,236.00
  5. Step 5: Solve for x
    x = 45,000,485,236.00/228,590.34
  6. Step 6: Final answer
    x = 196,860.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.