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Finding the Fourth Proportional to 109,333.60, 164,000.40 and 100,002.40

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Solution

The fourth proportional to 109,333.60, 164,000.40 and 100,002.40 is: 150,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,333.60 : 164,000.40 = 100,002.40 : x
  2. Step 2: Convert to fraction form
    109,333.60/164,000.40 = 100,002.40/x
  3. Step 3: Cross multiply
    109,333.60x = 164,000.40 × 100,002.40
  4. Step 4: Simplify right side
    109,333.60x = 16,400,433,600.96
  5. Step 5: Solve for x
    x = 16,400,433,600.96/109,333.60
  6. Step 6: Final answer
    x = 150,003.60

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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.