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Finding the Fourth Proportional to 192,812.48, 266,106.30 and 107,947.16

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Solution

The fourth proportional to 192,812.48, 266,106.30 and 107,947.16 is: 148,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812.48 : 266,106.30 = 107,947.16 : x
  2. Step 2: Convert to fraction form
    192,812.48/266,106.30 = 107,947.16/x
  3. Step 3: Cross multiply
    192,812.48x = 266,106.30 × 107,947.16
  4. Step 4: Simplify right side
    192,812.48x = 28,725,419,343.11
  5. Step 5: Solve for x
    x = 28,725,419,343.11/192,812.48
  6. Step 6: Final answer
    x = 148,981.12

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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.