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Finding the Fourth Proportional to 161,437.44, 242,094.72 and 73,824

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Solution

The fourth proportional to 161,437.44, 242,094.72 and 73,824 is: 110,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,437.44 : 242,094.72 = 73,824 : x
  2. Step 2: Convert to fraction form
    161,437.44/242,094.72 = 73,824/x
  3. Step 3: Cross multiply
    161,437.44x = 242,094.72 × 73,824
  4. Step 4: Simplify right side
    161,437.44x = 17,872,400,609.28
  5. Step 5: Solve for x
    x = 17,872,400,609.28/161,437.44
  6. Step 6: Final answer
    x = 110,707.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.