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Finding the Fourth Proportional to 292,326, 403,410.24 and 158,190

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Solution

The fourth proportional to 292,326, 403,410.24 and 158,190 is: 218,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,326 : 403,410.24 = 158,190 : x
  2. Step 2: Convert to fraction form
    292,326/403,410.24 = 158,190/x
  3. Step 3: Cross multiply
    292,326x = 403,410.24 × 158,190
  4. Step 4: Simplify right side
    292,326x = 63,815,465,865.60
  5. Step 5: Solve for x
    x = 63,815,465,865.60/292,326
  6. Step 6: Final answer
    x = 218,302.39

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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.