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Finding the Fourth Proportional to 208,900.08, 288,327.60 and 128,369.88

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Solution

The fourth proportional to 208,900.08, 288,327.60 and 128,369.88 is: 177,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,900.08 : 288,327.60 = 128,369.88 : x
  2. Step 2: Convert to fraction form
    208,900.08/288,327.60 = 128,369.88/x
  3. Step 3: Cross multiply
    208,900.08x = 288,327.60 × 128,369.88
  4. Step 4: Simplify right side
    208,900.08x = 37,012,579,412.69
  5. Step 5: Solve for x
    x = 37,012,579,412.69/208,900.08
  6. Step 6: Final answer
    x = 177,178.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.