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Finding the Fourth Proportional to 227,368.62, 313,714.75 and 129,244.16

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Solution

The fourth proportional to 227,368.62, 313,714.75 and 129,244.16 is: 178,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,368.62 : 313,714.75 = 129,244.16 : x
  2. Step 2: Convert to fraction form
    227,368.62/313,714.75 = 129,244.16/x
  3. Step 3: Cross multiply
    227,368.62x = 313,714.75 × 129,244.16
  4. Step 4: Simplify right side
    227,368.62x = 40,545,798,039.89
  5. Step 5: Solve for x
    x = 40,545,798,039.89/227,368.62
  6. Step 6: Final answer
    x = 178,326.27

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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.