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Finding the Fourth Proportional to 228,179.80, 342,464.10 and 102,014.20

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Solution

The fourth proportional to 228,179.80, 342,464.10 and 102,014.20 is: 153,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,179.80 : 342,464.10 = 102,014.20 : x
  2. Step 2: Convert to fraction form
    228,179.80/342,464.10 = 102,014.20/x
  3. Step 3: Cross multiply
    228,179.80x = 342,464.10 × 102,014.20
  4. Step 4: Simplify right side
    228,179.80x = 34,936,201,190.22
  5. Step 5: Solve for x
    x = 34,936,201,190.22/228,179.80
  6. Step 6: Final answer
    x = 153,108.21

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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.