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Finding the Fourth Proportional to 227,727.78, 314,263.17 and 127,125.78

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Solution

The fourth proportional to 227,727.78, 314,263.17 and 127,125.78 is: 175,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,727.78 : 314,263.17 = 127,125.78 : x
  2. Step 2: Convert to fraction form
    227,727.78/314,263.17 = 127,125.78/x
  3. Step 3: Cross multiply
    227,727.78x = 314,263.17 × 127,125.78
  4. Step 4: Simplify right side
    227,727.78x = 39,950,950,611.52
  5. Step 5: Solve for x
    x = 39,950,950,611.52/227,727.78
  6. Step 6: Final answer
    x = 175,432.93

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1.5x scale

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.