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Finding the Fourth Proportional to 103,415.32, 142,778.46 and 71,572.60

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Solution

The fourth proportional to 103,415.32, 142,778.46 and 71,572.60 is: 98,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415.32 : 142,778.46 = 71,572.60 : x
  2. Step 2: Convert to fraction form
    103,415.32/142,778.46 = 71,572.60/x
  3. Step 3: Cross multiply
    103,415.32x = 142,778.46 × 71,572.60
  4. Step 4: Simplify right side
    103,415.32x = 10,219,025,606.20
  5. Step 5: Solve for x
    x = 10,219,025,606.20/103,415.32
  6. Step 6: Final answer
    x = 98,815.39

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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.