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Finding the Fourth Proportional to 105,597.27, 158,366.34 and 52,992.63

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Solution

The fourth proportional to 105,597.27, 158,366.34 and 52,992.63 is: 79,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,597.27 : 158,366.34 = 52,992.63 : x
  2. Step 2: Convert to fraction form
    105,597.27/158,366.34 = 52,992.63/x
  3. Step 3: Cross multiply
    105,597.27x = 158,366.34 × 52,992.63
  4. Step 4: Simplify right side
    105,597.27x = 8,392,248,860.07
  5. Step 5: Solve for x
    x = 8,392,248,860.07/105,597.27
  6. Step 6: Final answer
    x = 79,474.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.