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Finding the Fourth Proportional to 227,573.60, 313,976.66 and 147,048.57

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Solution

The fourth proportional to 227,573.60, 313,976.66 and 147,048.57 is: 202,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,573.60 : 313,976.66 = 147,048.57 : x
  2. Step 2: Convert to fraction form
    227,573.60/313,976.66 = 147,048.57/x
  3. Step 3: Cross multiply
    227,573.60x = 313,976.66 × 147,048.57
  4. Step 4: Simplify right side
    227,573.60x = 46,169,818,131.13
  5. Step 5: Solve for x
    x = 46,169,818,131.13/227,573.60
  6. Step 6: Final answer
    x = 202,878.63

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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.