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Finding the Fourth Proportional to 228,962.76, 315,604.64 and 180,486.09

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Solution

The fourth proportional to 228,962.76, 315,604.64 and 180,486.09 is: 248,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,962.76 : 315,604.64 = 180,486.09 : x
  2. Step 2: Convert to fraction form
    228,962.76/315,604.64 = 180,486.09/x
  3. Step 3: Cross multiply
    228,962.76x = 315,604.64 × 180,486.09
  4. Step 4: Simplify right side
    228,962.76x = 56,962,246,557.03
  5. Step 5: Solve for x
    x = 56,962,246,557.03/228,962.76
  6. Step 6: Final answer
    x = 248,783.89

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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.