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Finding the Fourth Proportional to 292,357.41, 403,453.23 and 158,221.41

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Solution

The fourth proportional to 292,357.41, 403,453.23 and 158,221.41 is: 218,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,357.41 : 403,453.23 = 158,221.41 : x
  2. Step 2: Convert to fraction form
    292,357.41/403,453.23 = 158,221.41/x
  3. Step 3: Cross multiply
    292,357.41x = 403,453.23 × 158,221.41
  4. Step 4: Simplify right side
    292,357.41x = 63,834,936,813.37
  5. Step 5: Solve for x
    x = 63,834,936,813.37/292,357.41
  6. Step 6: Final answer
    x = 218,345.54

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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.