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Finding the Fourth Proportional to 257,107.79, 385,807.50 and 138,776.51

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Solution

The fourth proportional to 257,107.79, 385,807.50 and 138,776.51 is: 208,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,107.79 : 385,807.50 = 138,776.51 : x
  2. Step 2: Convert to fraction form
    257,107.79/385,807.50 = 138,776.51/x
  3. Step 3: Cross multiply
    257,107.79x = 385,807.50 × 138,776.51
  4. Step 4: Simplify right side
    257,107.79x = 53,541,016,452.79
  5. Step 5: Solve for x
    x = 53,541,016,452.79/257,107.79
  6. Step 6: Final answer
    x = 208,243.47

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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.