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Finding the Fourth Proportional to 257,209.50, 385,851.84 and 123,980.19

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Solution

The fourth proportional to 257,209.50, 385,851.84 and 123,980.19 is: 185,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,209.50 : 385,851.84 = 123,980.19 : x
  2. Step 2: Convert to fraction form
    257,209.50/385,851.84 = 123,980.19/x
  3. Step 3: Cross multiply
    257,209.50x = 385,851.84 × 123,980.19
  4. Step 4: Simplify right side
    257,209.50x = 47,837,986,301.85
  5. Step 5: Solve for x
    x = 47,837,986,301.85/257,209.50
  6. Step 6: Final answer
    x = 185,988.41

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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.