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Finding the Fourth Proportional to 149,404.30, 224,106.45 and 54,634.30

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Solution

The fourth proportional to 149,404.30, 224,106.45 and 54,634.30 is: 81,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,404.30 : 224,106.45 = 54,634.30 : x
  2. Step 2: Convert to fraction form
    149,404.30/224,106.45 = 54,634.30/x
  3. Step 3: Cross multiply
    149,404.30x = 224,106.45 × 54,634.30
  4. Step 4: Simplify right side
    149,404.30x = 12,243,899,021.24
  5. Step 5: Solve for x
    x = 12,243,899,021.24/149,404.30
  6. Step 6: Final answer
    x = 81,951.45

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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.