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Finding the Fourth Proportional to 194,155.20, 291,232.80 and 75,830.40

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Solution

The fourth proportional to 194,155.20, 291,232.80 and 75,830.40 is: 113,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,155.20 : 291,232.80 = 75,830.40 : x
  2. Step 2: Convert to fraction form
    194,155.20/291,232.80 = 75,830.40/x
  3. Step 3: Cross multiply
    194,155.20x = 291,232.80 × 75,830.40
  4. Step 4: Simplify right side
    194,155.20x = 22,084,299,717.12
  5. Step 5: Solve for x
    x = 22,084,299,717.12/194,155.20
  6. Step 6: Final answer
    x = 113,745.60

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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.