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Finding the Fourth Proportional to 257,138.35, 385,853.32 and 138,807.07

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Solution

The fourth proportional to 257,138.35, 385,853.32 and 138,807.07 is: 208,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,138.35 : 385,853.32 = 138,807.07 : x
  2. Step 2: Convert to fraction form
    257,138.35/385,853.32 = 138,807.07/x
  3. Step 3: Cross multiply
    257,138.35x = 385,853.32 × 138,807.07
  4. Step 4: Simplify right side
    257,138.35x = 53,559,168,007.85
  5. Step 5: Solve for x
    x = 53,559,168,007.85/257,138.35
  6. Step 6: Final answer
    x = 208,289.31

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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.