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Finding the Fourth Proportional to 227,977.36, 314,602.32 and 127,375.36

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Solution

The fourth proportional to 227,977.36, 314,602.32 and 127,375.36 is: 175,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,977.36 : 314,602.32 = 127,375.36 : x
  2. Step 2: Convert to fraction form
    227,977.36/314,602.32 = 127,375.36/x
  3. Step 3: Cross multiply
    227,977.36x = 314,602.32 × 127,375.36
  4. Step 4: Simplify right side
    227,977.36x = 40,072,583,766.84
  5. Step 5: Solve for x
    x = 40,072,583,766.84/227,977.36
  6. Step 6: Final answer
    x = 175,774.40

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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.