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Finding the Fourth Proportional to 257,148.60, 385,777.98 and 130,806.42

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Solution

The fourth proportional to 257,148.60, 385,777.98 and 130,806.42 is: 196,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,148.60 : 385,777.98 = 130,806.42 : x
  2. Step 2: Convert to fraction form
    257,148.60/385,777.98 = 130,806.42/x
  3. Step 3: Cross multiply
    257,148.60x = 385,777.98 × 130,806.42
  4. Step 4: Simplify right side
    257,148.60x = 50,462,236,478.63
  5. Step 5: Solve for x
    x = 50,462,236,478.63/257,148.60
  6. Step 6: Final answer
    x = 196,237.65

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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.