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Finding the Fourth Proportional to 181,709.60, 272,564.40 and 102,977.60

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Solution

The fourth proportional to 181,709.60, 272,564.40 and 102,977.60 is: 154,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,709.60 : 272,564.40 = 102,977.60 : x
  2. Step 2: Convert to fraction form
    181,709.60/272,564.40 = 102,977.60/x
  3. Step 3: Cross multiply
    181,709.60x = 272,564.40 × 102,977.60
  4. Step 4: Simplify right side
    181,709.60x = 28,068,027,757.44
  5. Step 5: Solve for x
    x = 28,068,027,757.44/181,709.60
  6. Step 6: Final answer
    x = 154,466.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.