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Finding the Fourth Proportional to 192,468.96, 265,602.48 and 107,596

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Solution

The fourth proportional to 192,468.96, 265,602.48 and 107,596 is: 148,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468.96 : 265,602.48 = 107,596 : x
  2. Step 2: Convert to fraction form
    192,468.96/265,602.48 = 107,596/x
  3. Step 3: Cross multiply
    192,468.96x = 265,602.48 × 107,596
  4. Step 4: Simplify right side
    192,468.96x = 28,577,764,438.08
  5. Step 5: Solve for x
    x = 28,577,764,438.08/192,468.96
  6. Step 6: Final answer
    x = 148,479.86

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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.