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Finding the Fourth Proportional to 100,859.40, 151,289.10 and 30,742.20

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Solution

The fourth proportional to 100,859.40, 151,289.10 and 30,742.20 is: 46,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,859.40 : 151,289.10 = 30,742.20 : x
  2. Step 2: Convert to fraction form
    100,859.40/151,289.10 = 30,742.20/x
  3. Step 3: Cross multiply
    100,859.40x = 151,289.10 × 30,742.20
  4. Step 4: Simplify right side
    100,859.40x = 4,650,959,770.02
  5. Step 5: Solve for x
    x = 4,650,959,770.02/100,859.40
  6. Step 6: Final answer
    x = 46,113.30

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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.