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Finding the Fourth Proportional to 292,291.38, 438,168.75 and 105,257.46

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Solution

The fourth proportional to 292,291.38, 438,168.75 and 105,257.46 is: 157,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,291.38 : 438,168.75 = 105,257.46 : x
  2. Step 2: Convert to fraction form
    292,291.38/438,168.75 = 105,257.46/x
  3. Step 3: Cross multiply
    292,291.38x = 438,168.75 × 105,257.46
  4. Step 4: Simplify right side
    292,291.38x = 46,120,529,676.38
  5. Step 5: Solve for x
    x = 46,120,529,676.38/292,291.38
  6. Step 6: Final answer
    x = 157,789.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.