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Finding the Fourth Proportional to 161,782.60, 242,630.70 and 49,462.60

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Solution

The fourth proportional to 161,782.60, 242,630.70 and 49,462.60 is: 74,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,782.60 : 242,630.70 = 49,462.60 : x
  2. Step 2: Convert to fraction form
    161,782.60/242,630.70 = 49,462.60/x
  3. Step 3: Cross multiply
    161,782.60x = 242,630.70 × 49,462.60
  4. Step 4: Simplify right side
    161,782.60x = 12,001,145,261.82
  5. Step 5: Solve for x
    x = 12,001,145,261.82/161,782.60
  6. Step 6: Final answer
    x = 74,180.69

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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.