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Finding the Fourth Proportional to 149,401.80, 224,102.70 and 130,156.20

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Solution

The fourth proportional to 149,401.80, 224,102.70 and 130,156.20 is: 195,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,401.80 : 224,102.70 = 130,156.20 : x
  2. Step 2: Convert to fraction form
    149,401.80/224,102.70 = 130,156.20/x
  3. Step 3: Cross multiply
    149,401.80x = 224,102.70 × 130,156.20
  4. Step 4: Simplify right side
    149,401.80x = 29,168,355,841.74
  5. Step 5: Solve for x
    x = 29,168,355,841.74/149,401.80
  6. Step 6: Final answer
    x = 195,234.30

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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.