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Finding the Fourth Proportional to 257,342.94, 385,489.26 and 132,421.50

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Solution

The fourth proportional to 257,342.94, 385,489.26 and 132,421.50 is: 198,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,342.94 : 385,489.26 = 132,421.50 : x
  2. Step 2: Convert to fraction form
    257,342.94/385,489.26 = 132,421.50/x
  3. Step 3: Cross multiply
    257,342.94x = 385,489.26 × 132,421.50
  4. Step 4: Simplify right side
    257,342.94x = 51,047,066,043.09
  5. Step 5: Solve for x
    x = 51,047,066,043.09/257,342.94
  6. Step 6: Final answer
    x = 198,362.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.