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Finding the Fourth Proportional to 192,162, 265,210.02 and 107,283.72

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Solution

The fourth proportional to 192,162, 265,210.02 and 107,283.72 is: 148,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,162 : 265,210.02 = 107,283.72 : x
  2. Step 2: Convert to fraction form
    192,162/265,210.02 = 107,283.72/x
  3. Step 3: Cross multiply
    192,162x = 265,210.02 × 107,283.72
  4. Step 4: Simplify right side
    192,162x = 28,452,717,526.87
  5. Step 5: Solve for x
    x = 28,452,717,526.87/192,162
  6. Step 6: Final answer
    x = 148,066.31

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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.