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Finding the Fourth Proportional to 105,152.34, 145,118.51 and 59,832.23

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Solution

The fourth proportional to 105,152.34, 145,118.51 and 59,832.23 is: 82,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,152.34 : 145,118.51 = 59,832.23 : x
  2. Step 2: Convert to fraction form
    105,152.34/145,118.51 = 59,832.23/x
  3. Step 3: Cross multiply
    105,152.34x = 145,118.51 × 59,832.23
  4. Step 4: Simplify right side
    105,152.34x = 8,682,764,067.58
  5. Step 5: Solve for x
    x = 8,682,764,067.58/105,152.34
  6. Step 6: Final answer
    x = 82,573.19

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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.