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Finding the Fourth Proportional to 232,929.21, 349,144.66 and 120,496.21

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Solution

The fourth proportional to 232,929.21, 349,144.66 and 120,496.21 is: 180,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,929.21 : 349,144.66 = 120,496.21 : x
  2. Step 2: Convert to fraction form
    232,929.21/349,144.66 = 120,496.21/x
  3. Step 3: Cross multiply
    232,929.21x = 349,144.66 × 120,496.21
  4. Step 4: Simplify right side
    232,929.21x = 42,070,608,271.74
  5. Step 5: Solve for x
    x = 42,070,608,271.74/232,929.21
  6. Step 6: Final answer
    x = 180,615.43

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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.