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Finding the Fourth Proportional to 227,625.84, 314,094.68 and 127,028.08

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Solution

The fourth proportional to 227,625.84, 314,094.68 and 127,028.08 is: 175,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,625.84 : 314,094.68 = 127,028.08 : x
  2. Step 2: Convert to fraction form
    227,625.84/314,094.68 = 127,028.08/x
  3. Step 3: Cross multiply
    227,625.84x = 314,094.68 × 127,028.08
  4. Step 4: Simplify right side
    227,625.84x = 39,898,844,138.61
  5. Step 5: Solve for x
    x = 39,898,844,138.61/227,625.84
  6. Step 6: Final answer
    x = 175,282.58

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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.