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Finding the Fourth Proportional to 161,177, 241,774.14 and 50,377.64

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Solution

The fourth proportional to 161,177, 241,774.14 and 50,377.64 is: 75,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,177 : 241,774.14 = 50,377.64 : x
  2. Step 2: Convert to fraction form
    161,177/241,774.14 = 50,377.64/x
  3. Step 3: Cross multiply
    161,177x = 241,774.14 × 50,377.64
  4. Step 4: Simplify right side
    161,177x = 12,180,010,586.23
  5. Step 5: Solve for x
    x = 12,180,010,586.23/161,177
  6. Step 6: Final answer
    x = 75,569.16

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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.