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Finding the Fourth Proportional to 192,640.84, 265,869.54 and 107,775.40

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Solution

The fourth proportional to 192,640.84, 265,869.54 and 107,775.40 is: 148,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,640.84 : 265,869.54 = 107,775.40 : x
  2. Step 2: Convert to fraction form
    192,640.84/265,869.54 = 107,775.40/x
  3. Step 3: Cross multiply
    192,640.84x = 265,869.54 × 107,775.40
  4. Step 4: Simplify right side
    192,640.84x = 28,654,196,021.32
  5. Step 5: Solve for x
    x = 28,654,196,021.32/192,640.84
  6. Step 6: Final answer
    x = 148,744.14

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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.