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Finding the Fourth Proportional to 192,049.47, 265,045.86 and 106,023.87

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Solution

The fourth proportional to 192,049.47, 265,045.86 and 106,023.87 is: 146,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,049.47 : 265,045.86 = 106,023.87 : x
  2. Step 2: Convert to fraction form
    192,049.47/265,045.86 = 106,023.87/x
  3. Step 3: Cross multiply
    192,049.47x = 265,045.86 × 106,023.87
  4. Step 4: Simplify right side
    192,049.47x = 28,101,187,804.68
  5. Step 5: Solve for x
    x = 28,101,187,804.68/192,049.47
  6. Step 6: Final answer
    x = 146,322.65

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1.5x scale

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.