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Finding the Fourth Proportional to 102,911.68, 142,014.24 and 58,200.64

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Solution

The fourth proportional to 102,911.68, 142,014.24 and 58,200.64 is: 80,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,911.68 : 142,014.24 = 58,200.64 : x
  2. Step 2: Convert to fraction form
    102,911.68/142,014.24 = 58,200.64/x
  3. Step 3: Cross multiply
    102,911.68x = 142,014.24 × 58,200.64
  4. Step 4: Simplify right side
    102,911.68x = 8,265,319,657.11
  5. Step 5: Solve for x
    x = 8,265,319,657.11/102,911.68
  6. Step 6: Final answer
    x = 80,314.69

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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.