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Finding the Fourth Proportional to 161,409.60, 242,200.80 and 72,676.80

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Solution

The fourth proportional to 161,409.60, 242,200.80 and 72,676.80 is: 109,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,409.60 : 242,200.80 = 72,676.80 : x
  2. Step 2: Convert to fraction form
    161,409.60/242,200.80 = 72,676.80/x
  3. Step 3: Cross multiply
    161,409.60x = 242,200.80 × 72,676.80
  4. Step 4: Simplify right side
    161,409.60x = 17,602,379,101.44
  5. Step 5: Solve for x
    x = 17,602,379,101.44/161,409.60
  6. Step 6: Final answer
    x = 109,054.10

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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.