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Finding the Fourth Proportional to 109,624.80, 164,437.20 and 105,016.80

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Solution

The fourth proportional to 109,624.80, 164,437.20 and 105,016.80 is: 157,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,624.80 : 164,437.20 = 105,016.80 : x
  2. Step 2: Convert to fraction form
    109,624.80/164,437.20 = 105,016.80/x
  3. Step 3: Cross multiply
    109,624.80x = 164,437.20 × 105,016.80
  4. Step 4: Simplify right side
    109,624.80x = 17,268,668,544.96
  5. Step 5: Solve for x
    x = 17,268,668,544.96/109,624.80
  6. Step 6: Final answer
    x = 157,525.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.