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Finding the Fourth Proportional to 102,627.20, 153,940.80 and 36,142.40

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Solution

The fourth proportional to 102,627.20, 153,940.80 and 36,142.40 is: 54,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,627.20 : 153,940.80 = 36,142.40 : x
  2. Step 2: Convert to fraction form
    102,627.20/153,940.80 = 36,142.40/x
  3. Step 3: Cross multiply
    102,627.20x = 153,940.80 × 36,142.40
  4. Step 4: Simplify right side
    102,627.20x = 5,563,789,969.92
  5. Step 5: Solve for x
    x = 5,563,789,969.92/102,627.20
  6. Step 6: Final answer
    x = 54,213.60

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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.