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Finding the Fourth Proportional to 227,288.75, 313,672.56 and 125,314.02

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Solution

The fourth proportional to 227,288.75, 313,672.56 and 125,314.02 is: 172,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,288.75 : 313,672.56 = 125,314.02 : x
  2. Step 2: Convert to fraction form
    227,288.75/313,672.56 = 125,314.02/x
  3. Step 3: Cross multiply
    227,288.75x = 313,672.56 × 125,314.02
  4. Step 4: Simplify right side
    227,288.75x = 39,307,569,457.29
  5. Step 5: Solve for x
    x = 39,307,569,457.29/227,288.75
  6. Step 6: Final answer
    x = 172,941.11

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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.