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Finding the Fourth Proportional to 232,195.40, 347,709.90 and 152,880.20

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Solution

The fourth proportional to 232,195.40, 347,709.90 and 152,880.20 is: 228,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,195.40 : 347,709.90 = 152,880.20 : x
  2. Step 2: Convert to fraction form
    232,195.40/347,709.90 = 152,880.20/x
  3. Step 3: Cross multiply
    232,195.40x = 347,709.90 × 152,880.20
  4. Step 4: Simplify right side
    232,195.40x = 53,157,959,053.98
  5. Step 5: Solve for x
    x = 53,157,959,053.98/232,195.40
  6. Step 6: Final answer
    x = 228,936.31

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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.