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Finding the Fourth Proportional to 292,765.76, 404,017.28 and 158,629.76

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Solution

The fourth proportional to 292,765.76, 404,017.28 and 158,629.76 is: 218,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,765.76 : 404,017.28 = 158,629.76 : x
  2. Step 2: Convert to fraction form
    292,765.76/404,017.28 = 158,629.76/x
  3. Step 3: Cross multiply
    292,765.76x = 404,017.28 × 158,629.76
  4. Step 4: Simplify right side
    292,765.76x = 64,089,164,162.25
  5. Step 5: Solve for x
    x = 64,089,164,162.25/292,765.76
  6. Step 6: Final answer
    x = 218,909.36

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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.