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Finding the Fourth Proportional to 161,009.36, 241,514.04 and 50,210

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Solution

The fourth proportional to 161,009.36, 241,514.04 and 50,210 is: 75,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,009.36 : 241,514.04 = 50,210 : x
  2. Step 2: Convert to fraction form
    161,009.36/241,514.04 = 50,210/x
  3. Step 3: Cross multiply
    161,009.36x = 241,514.04 × 50,210
  4. Step 4: Simplify right side
    161,009.36x = 12,126,419,948.40
  5. Step 5: Solve for x
    x = 12,126,419,948.40/161,009.36
  6. Step 6: Final answer
    x = 75,315

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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.