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Finding the Fourth Proportional to 292,367.28, 403,466.91 and 158,231.28

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Solution

The fourth proportional to 292,367.28, 403,466.91 and 158,231.28 is: 218,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,367.28 : 403,466.91 = 158,231.28 : x
  2. Step 2: Convert to fraction form
    292,367.28/403,466.91 = 158,231.28/x
  3. Step 3: Cross multiply
    292,367.28x = 403,466.91 × 158,231.28
  4. Step 4: Simplify right side
    292,367.28x = 63,841,085,606.94
  5. Step 5: Solve for x
    x = 63,841,085,606.94/292,367.28
  6. Step 6: Final answer
    x = 218,359.20

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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.