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Finding the Fourth Proportional to 227,827.28, 314,403.72 and 132,338

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Solution

The fourth proportional to 227,827.28, 314,403.72 and 132,338 is: 182,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,827.28 : 314,403.72 = 132,338 : x
  2. Step 2: Convert to fraction form
    227,827.28/314,403.72 = 132,338/x
  3. Step 3: Cross multiply
    227,827.28x = 314,403.72 × 132,338
  4. Step 4: Simplify right side
    227,827.28x = 41,607,559,497.36
  5. Step 5: Solve for x
    x = 41,607,559,497.36/227,827.28
  6. Step 6: Final answer
    x = 182,627.64

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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.