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Finding the Fourth Proportional to 105,114.40, 157,671.60 and 75,738.40

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Solution

The fourth proportional to 105,114.40, 157,671.60 and 75,738.40 is: 113,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.40 : 157,671.60 = 75,738.40 : x
  2. Step 2: Convert to fraction form
    105,114.40/157,671.60 = 75,738.40/x
  3. Step 3: Cross multiply
    105,114.40x = 157,671.60 × 75,738.40
  4. Step 4: Simplify right side
    105,114.40x = 11,941,794,709.44
  5. Step 5: Solve for x
    x = 11,941,794,709.44/105,114.40
  6. Step 6: Final answer
    x = 113,607.60

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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.