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Finding the Fourth Proportional to 292,053.36, 403,034.22 and 157,917.36

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Solution

The fourth proportional to 292,053.36, 403,034.22 and 157,917.36 is: 217,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,053.36 : 403,034.22 = 157,917.36 : x
  2. Step 2: Convert to fraction form
    292,053.36/403,034.22 = 157,917.36/x
  3. Step 3: Cross multiply
    292,053.36x = 403,034.22 × 157,917.36
  4. Step 4: Simplify right side
    292,053.36x = 63,646,100,012.06
  5. Step 5: Solve for x
    x = 63,646,100,012.06/292,053.36
  6. Step 6: Final answer
    x = 217,926.27

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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.