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Finding the Fourth Proportional to 192,536.28, 265,724.82 and 107,658

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Solution

The fourth proportional to 192,536.28, 265,724.82 and 107,658 is: 148,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,536.28 : 265,724.82 = 107,658 : x
  2. Step 2: Convert to fraction form
    192,536.28/265,724.82 = 107,658/x
  3. Step 3: Cross multiply
    192,536.28x = 265,724.82 × 107,658
  4. Step 4: Simplify right side
    192,536.28x = 28,607,402,671.56
  5. Step 5: Solve for x
    x = 28,607,402,671.56/192,536.28
  6. Step 6: Final answer
    x = 148,581.88

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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.