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Finding the Fourth Proportional to 292,214.60, 437,997.90 and 114,662.60

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Solution

The fourth proportional to 292,214.60, 437,997.90 and 114,662.60 is: 171,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.60 : 437,997.90 = 114,662.60 : x
  2. Step 2: Convert to fraction form
    292,214.60/437,997.90 = 114,662.60/x
  3. Step 3: Cross multiply
    292,214.60x = 437,997.90 × 114,662.60
  4. Step 4: Simplify right side
    292,214.60x = 50,221,978,008.54
  5. Step 5: Solve for x
    x = 50,221,978,008.54/292,214.60
  6. Step 6: Final answer
    x = 171,866.77

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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.