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Finding the Fourth Proportional to 100,983.20, 151,474.80 and 30,862.40

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Solution

The fourth proportional to 100,983.20, 151,474.80 and 30,862.40 is: 46,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,983.20 : 151,474.80 = 30,862.40 : x
  2. Step 2: Convert to fraction form
    100,983.20/151,474.80 = 30,862.40/x
  3. Step 3: Cross multiply
    100,983.20x = 151,474.80 × 30,862.40
  4. Step 4: Simplify right side
    100,983.20x = 4,674,875,867.52
  5. Step 5: Solve for x
    x = 4,674,875,867.52/100,983.20
  6. Step 6: Final answer
    x = 46,293.60

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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.