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Finding the Fourth Proportional to 103,100.16, 142,273.92 and 58,388.16

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Solution

The fourth proportional to 103,100.16, 142,273.92 and 58,388.16 is: 80,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,100.16 : 142,273.92 = 58,388.16 : x
  2. Step 2: Convert to fraction form
    103,100.16/142,273.92 = 58,388.16/x
  3. Step 3: Cross multiply
    103,100.16x = 142,273.92 × 58,388.16
  4. Step 4: Simplify right side
    103,100.16x = 8,307,112,404.79
  5. Step 5: Solve for x
    x = 8,307,112,404.79/103,100.16
  6. Step 6: Final answer
    x = 80,573.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.