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Finding the Fourth Proportional to 192,384, 265,489.10 and 107,501.06

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Solution

The fourth proportional to 192,384, 265,489.10 and 107,501.06 is: 148,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,384 : 265,489.10 = 107,501.06 : x
  2. Step 2: Convert to fraction form
    192,384/265,489.10 = 107,501.06/x
  3. Step 3: Cross multiply
    192,384x = 265,489.10 × 107,501.06
  4. Step 4: Simplify right side
    192,384x = 28,540,359,668.45
  5. Step 5: Solve for x
    x = 28,540,359,668.45/192,384
  6. Step 6: Final answer
    x = 148,351.00

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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.