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Finding the Fourth Proportional to 192,783.27, 265,957.16 and 116,259.84

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Solution

The fourth proportional to 192,783.27, 265,957.16 and 116,259.84 is: 160,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783.27 : 265,957.16 = 116,259.84 : x
  2. Step 2: Convert to fraction form
    192,783.27/265,957.16 = 116,259.84/x
  3. Step 3: Cross multiply
    192,783.27x = 265,957.16 × 116,259.84
  4. Step 4: Simplify right side
    192,783.27x = 30,920,136,287.16
  5. Step 5: Solve for x
    x = 30,920,136,287.16/192,783.27
  6. Step 6: Final answer
    x = 160,388.07

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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.