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Finding the Fourth Proportional to 228,706.56, 314,962.56 and 205,850.88

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Solution

The fourth proportional to 228,706.56, 314,962.56 and 205,850.88 is: 283,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,706.56 : 314,962.56 = 205,850.88 : x
  2. Step 2: Convert to fraction form
    228,706.56/314,962.56 = 205,850.88/x
  3. Step 3: Cross multiply
    228,706.56x = 314,962.56 × 205,850.88
  4. Step 4: Simplify right side
    228,706.56x = 64,835,320,143.05
  5. Step 5: Solve for x
    x = 64,835,320,143.05/228,706.56
  6. Step 6: Final answer
    x = 283,486.93

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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.