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Finding the Fourth Proportional to 227,637.68, 314,169.72 and 127,056.56

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Solution

The fourth proportional to 227,637.68, 314,169.72 and 127,056.56 is: 175,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,637.68 : 314,169.72 = 127,056.56 : x
  2. Step 2: Convert to fraction form
    227,637.68/314,169.72 = 127,056.56/x
  3. Step 3: Cross multiply
    227,637.68x = 314,169.72 × 127,056.56
  4. Step 4: Simplify right side
    227,637.68x = 39,917,323,879.36
  5. Step 5: Solve for x
    x = 39,917,323,879.36/227,637.68
  6. Step 6: Final answer
    x = 175,354.64

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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.