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Finding the Fourth Proportional to 161,218.80, 241,459.40 and 77,038.14

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Solution

The fourth proportional to 161,218.80, 241,459.40 and 77,038.14 is: 115,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,218.80 : 241,459.40 = 77,038.14 : x
  2. Step 2: Convert to fraction form
    161,218.80/241,459.40 = 77,038.14/x
  3. Step 3: Cross multiply
    161,218.80x = 241,459.40 × 77,038.14
  4. Step 4: Simplify right side
    161,218.80x = 18,601,582,676.33
  5. Step 5: Solve for x
    x = 18,601,582,676.33/161,218.80
  6. Step 6: Final answer
    x = 115,380.98

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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.