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Finding the Fourth Proportional to 227,670.84, 314,156.78 and 127,073.08

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Solution

The fourth proportional to 227,670.84, 314,156.78 and 127,073.08 is: 175,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,670.84 : 314,156.78 = 127,073.08 : x
  2. Step 2: Convert to fraction form
    227,670.84/314,156.78 = 127,073.08/x
  3. Step 3: Cross multiply
    227,670.84x = 314,156.78 × 127,073.08
  4. Step 4: Simplify right side
    227,670.84x = 39,920,869,637.48
  5. Step 5: Solve for x
    x = 39,920,869,637.48/227,670.84
  6. Step 6: Final answer
    x = 175,344.68

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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.