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Finding the Fourth Proportional to 192,458.16, 265,587.59 and 106,414.90

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Solution

The fourth proportional to 192,458.16, 265,587.59 and 106,414.90 is: 146,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458.16 : 265,587.59 = 106,414.90 : x
  2. Step 2: Convert to fraction form
    192,458.16/265,587.59 = 106,414.90/x
  3. Step 3: Cross multiply
    192,458.16x = 265,587.59 × 106,414.90
  4. Step 4: Simplify right side
    192,458.16x = 28,262,476,433.16
  5. Step 5: Solve for x
    x = 28,262,476,433.16/192,458.16
  6. Step 6: Final answer
    x = 146,849.98

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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.