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Finding the Fourth Proportional to 161,178, 241,775.64 and 50,378.64

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Solution

The fourth proportional to 161,178, 241,775.64 and 50,378.64 is: 75,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,178 : 241,775.64 = 50,378.64 : x
  2. Step 2: Convert to fraction form
    161,178/241,775.64 = 50,378.64/x
  3. Step 3: Cross multiply
    161,178x = 241,775.64 × 50,378.64
  4. Step 4: Simplify right side
    161,178x = 12,180,327,928.33
  5. Step 5: Solve for x
    x = 12,180,327,928.33/161,178
  6. Step 6: Final answer
    x = 75,570.66

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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.