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Finding the Fourth Proportional to 192,001.52, 264,960.24 and 105,961.30

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Solution

The fourth proportional to 192,001.52, 264,960.24 and 105,961.30 is: 146,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,001.52 : 264,960.24 = 105,961.30 : x
  2. Step 2: Convert to fraction form
    192,001.52/264,960.24 = 105,961.30/x
  3. Step 3: Cross multiply
    192,001.52x = 264,960.24 × 105,961.30
  4. Step 4: Simplify right side
    192,001.52x = 28,075,531,478.71
  5. Step 5: Solve for x
    x = 28,075,531,478.71/192,001.52
  6. Step 6: Final answer
    x = 146,225.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.