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Finding the Fourth Proportional to 193,617.60, 290,426.40 and 51,462.60

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Solution

The fourth proportional to 193,617.60, 290,426.40 and 51,462.60 is: 77,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,617.60 : 290,426.40 = 51,462.60 : x
  2. Step 2: Convert to fraction form
    193,617.60/290,426.40 = 51,462.60/x
  3. Step 3: Cross multiply
    193,617.60x = 290,426.40 × 51,462.60
  4. Step 4: Simplify right side
    193,617.60x = 14,946,097,652.64
  5. Step 5: Solve for x
    x = 14,946,097,652.64/193,617.60
  6. Step 6: Final answer
    x = 77,193.90

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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.