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Finding the Fourth Proportional to 232,899.47, 349,100.05 and 120,466.50

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Solution

The fourth proportional to 232,899.47, 349,100.05 and 120,466.50 is: 180,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,899.47 : 349,100.05 = 120,466.50 : x
  2. Step 2: Convert to fraction form
    232,899.47/349,100.05 = 120,466.50/x
  3. Step 3: Cross multiply
    232,899.47x = 349,100.05 × 120,466.50
  4. Step 4: Simplify right side
    232,899.47x = 42,054,861,173.33
  5. Step 5: Solve for x
    x = 42,054,861,173.33/232,899.47
  6. Step 6: Final answer
    x = 180,570.88

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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.