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Finding the Fourth Proportional to 192,509.84, 265,656 and 106,463.24

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Solution

The fourth proportional to 192,509.84, 265,656 and 106,463.24 is: 146,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.84 : 265,656 = 106,463.24 : x
  2. Step 2: Convert to fraction form
    192,509.84/265,656 = 106,463.24/x
  3. Step 3: Cross multiply
    192,509.84x = 265,656 × 106,463.24
  4. Step 4: Simplify right side
    192,509.84x = 28,282,598,485.44
  5. Step 5: Solve for x
    x = 28,282,598,485.44/192,509.84
  6. Step 6: Final answer
    x = 146,915.08

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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.