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Finding the Fourth Proportional to 156,645.60, 234,968.40 and 109,406.40

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Solution

The fourth proportional to 156,645.60, 234,968.40 and 109,406.40 is: 164,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,645.60 : 234,968.40 = 109,406.40 : x
  2. Step 2: Convert to fraction form
    156,645.60/234,968.40 = 109,406.40/x
  3. Step 3: Cross multiply
    156,645.60x = 234,968.40 × 109,406.40
  4. Step 4: Simplify right side
    156,645.60x = 25,707,046,757.76
  5. Step 5: Solve for x
    x = 25,707,046,757.76/156,645.60
  6. Step 6: Final answer
    x = 164,109.60

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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.