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Finding the Fourth Proportional to 192,577.71, 265,752.27 and 106,534.47

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Solution

The fourth proportional to 192,577.71, 265,752.27 and 106,534.47 is: 147,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.71 : 265,752.27 = 106,534.47 : x
  2. Step 2: Convert to fraction form
    192,577.71/265,752.27 = 106,534.47/x
  3. Step 3: Cross multiply
    192,577.71x = 265,752.27 × 106,534.47
  4. Step 4: Simplify right side
    192,577.71x = 28,311,777,235.75
  5. Step 5: Solve for x
    x = 28,311,777,235.75/192,577.71
  6. Step 6: Final answer
    x = 147,014.82

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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.