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Finding the Fourth Proportional to 142,953.68, 197,259.72 and 82,524.08

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Solution

The fourth proportional to 142,953.68, 197,259.72 and 82,524.08 is: 113,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,953.68 : 197,259.72 = 82,524.08 : x
  2. Step 2: Convert to fraction form
    142,953.68/197,259.72 = 82,524.08/x
  3. Step 3: Cross multiply
    142,953.68x = 197,259.72 × 82,524.08
  4. Step 4: Simplify right side
    142,953.68x = 16,278,676,914.06
  5. Step 5: Solve for x
    x = 16,278,676,914.06/142,953.68
  6. Step 6: Final answer
    x = 113,873.79

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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.