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Finding the Fourth Proportional to 232,972.80, 349,507.80 and 133,051.20

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Solution

The fourth proportional to 232,972.80, 349,507.80 and 133,051.20 is: 199,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,972.80 : 349,507.80 = 133,051.20 : x
  2. Step 2: Convert to fraction form
    232,972.80/349,507.80 = 133,051.20/x
  3. Step 3: Cross multiply
    232,972.80x = 349,507.80 × 133,051.20
  4. Step 4: Simplify right side
    232,972.80x = 46,502,432,199.36
  5. Step 5: Solve for x
    x = 46,502,432,199.36/232,972.80
  6. Step 6: Final answer
    x = 199,604.56

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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.