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Finding the Fourth Proportional to 232,962.72, 349,194.88 and 120,529.76

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Solution

The fourth proportional to 232,962.72, 349,194.88 and 120,529.76 is: 180,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,962.72 : 349,194.88 = 120,529.76 : x
  2. Step 2: Convert to fraction form
    232,962.72/349,194.88 = 120,529.76/x
  3. Step 3: Cross multiply
    232,962.72x = 349,194.88 × 120,529.76
  4. Step 4: Simplify right side
    232,962.72x = 42,088,375,079.63
  5. Step 5: Solve for x
    x = 42,088,375,079.63/232,962.72
  6. Step 6: Final answer
    x = 180,665.71

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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.