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Finding the Fourth Proportional to 227,299.76, 313,597.50 and 146,781.71

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Solution

The fourth proportional to 227,299.76, 313,597.50 and 146,781.71 is: 202,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,299.76 : 313,597.50 = 146,781.71 : x
  2. Step 2: Convert to fraction form
    227,299.76/313,597.50 = 146,781.71/x
  3. Step 3: Cross multiply
    227,299.76x = 313,597.50 × 146,781.71
  4. Step 4: Simplify right side
    227,299.76x = 46,030,375,733.74
  5. Step 5: Solve for x
    x = 46,030,375,733.74/227,299.76
  6. Step 6: Final answer
    x = 202,509.57

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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.