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Finding the Fourth Proportional to 110,356.14, 152,445.18 and 106,259.58

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Solution

The fourth proportional to 110,356.14, 152,445.18 and 106,259.58 is: 146,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356.14 : 152,445.18 = 106,259.58 : x
  2. Step 2: Convert to fraction form
    110,356.14/152,445.18 = 106,259.58/x
  3. Step 3: Cross multiply
    110,356.14x = 152,445.18 × 106,259.58
  4. Step 4: Simplify right side
    110,356.14x = 16,198,760,799.82
  5. Step 5: Solve for x
    x = 16,198,760,799.82/110,356.14
  6. Step 6: Final answer
    x = 146,786.22

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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.