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Finding the Fourth Proportional to 149,698.10, 224,219.10 and 130,015.10

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Solution

The fourth proportional to 149,698.10, 224,219.10 and 130,015.10 is: 194,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,698.10 : 224,219.10 = 130,015.10 : x
  2. Step 2: Convert to fraction form
    149,698.10/224,219.10 = 130,015.10/x
  3. Step 3: Cross multiply
    149,698.10x = 224,219.10 × 130,015.10
  4. Step 4: Simplify right side
    149,698.10x = 29,151,868,708.41
  5. Step 5: Solve for x
    x = 29,151,868,708.41/149,698.10
  6. Step 6: Final answer
    x = 194,737.73

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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.