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Finding the Fourth Proportional to 161,608, 242,438.26 and 47,767.36

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Solution

The fourth proportional to 161,608, 242,438.26 and 47,767.36 is: 71,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,608 : 242,438.26 = 47,767.36 : x
  2. Step 2: Convert to fraction form
    161,608/242,438.26 = 47,767.36/x
  3. Step 3: Cross multiply
    161,608x = 242,438.26 × 47,767.36
  4. Step 4: Simplify right side
    161,608x = 11,580,635,643.19
  5. Step 5: Solve for x
    x = 11,580,635,643.19/161,608
  6. Step 6: Final answer
    x = 71,658.80

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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.