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Finding the Fourth Proportional to 173,844.60, 260,378.10 and 142,740.60

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Solution

The fourth proportional to 173,844.60, 260,378.10 and 142,740.60 is: 213,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,844.60 : 260,378.10 = 142,740.60 : x
  2. Step 2: Convert to fraction form
    173,844.60/260,378.10 = 142,740.60/x
  3. Step 3: Cross multiply
    173,844.60x = 260,378.10 × 142,740.60
  4. Step 4: Simplify right side
    173,844.60x = 37,166,526,220.86
  5. Step 5: Solve for x
    x = 37,166,526,220.86/173,844.60
  6. Step 6: Final answer
    x = 213,791.66

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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.