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Finding the Fourth Proportional to 192,754.71, 265,978.01 and 106,707.20

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Solution

The fourth proportional to 192,754.71, 265,978.01 and 106,707.20 is: 147,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,754.71 : 265,978.01 = 106,707.20 : x
  2. Step 2: Convert to fraction form
    192,754.71/265,978.01 = 106,707.20/x
  3. Step 3: Cross multiply
    192,754.71x = 265,978.01 × 106,707.20
  4. Step 4: Simplify right side
    192,754.71x = 28,381,767,645.55
  5. Step 5: Solve for x
    x = 28,381,767,645.55/192,754.71
  6. Step 6: Final answer
    x = 147,242.93

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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.