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Finding the Fourth Proportional to 161,205.96, 241,777.46 and 153,204.48

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Solution

The fourth proportional to 161,205.96, 241,777.46 and 153,204.48 is: 229,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,205.96 : 241,777.46 = 153,204.48 : x
  2. Step 2: Convert to fraction form
    161,205.96/241,777.46 = 153,204.48/x
  3. Step 3: Cross multiply
    161,205.96x = 241,777.46 × 153,204.48
  4. Step 4: Simplify right side
    161,205.96x = 37,041,390,035.02
  5. Step 5: Solve for x
    x = 37,041,390,035.02/161,205.96
  6. Step 6: Final answer
    x = 229,776.80

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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.