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Finding the Fourth Proportional to 192,651.40, 265,848.24 and 107,752.06

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Solution

The fourth proportional to 192,651.40, 265,848.24 and 107,752.06 is: 148,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,651.40 : 265,848.24 = 107,752.06 : x
  2. Step 2: Convert to fraction form
    192,651.40/265,848.24 = 107,752.06/x
  3. Step 3: Cross multiply
    192,651.40x = 265,848.24 × 107,752.06
  4. Step 4: Simplify right side
    192,651.40x = 28,645,695,507.37
  5. Step 5: Solve for x
    x = 28,645,695,507.37/192,651.40
  6. Step 6: Final answer
    x = 148,691.86

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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.