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Finding the Fourth Proportional to 227,668.57, 341,681.29 and 158,832.46

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Solution

The fourth proportional to 227,668.57, 341,681.29 and 158,832.46 is: 238,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,668.57 : 341,681.29 = 158,832.46 : x
  2. Step 2: Convert to fraction form
    227,668.57/341,681.29 = 158,832.46/x
  3. Step 3: Cross multiply
    227,668.57x = 341,681.29 × 158,832.46
  4. Step 4: Simplify right side
    227,668.57x = 54,270,077,324.10
  5. Step 5: Solve for x
    x = 54,270,077,324.10/227,668.57
  6. Step 6: Final answer
    x = 238,373.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.