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Finding the Fourth Proportional to 129,662.30, 194,493.45 and 31,166.30

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Solution

The fourth proportional to 129,662.30, 194,493.45 and 31,166.30 is: 46,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,662.30 : 194,493.45 = 31,166.30 : x
  2. Step 2: Convert to fraction form
    129,662.30/194,493.45 = 31,166.30/x
  3. Step 3: Cross multiply
    129,662.30x = 194,493.45 × 31,166.30
  4. Step 4: Simplify right side
    129,662.30x = 6,061,641,210.74
  5. Step 5: Solve for x
    x = 6,061,641,210.74/129,662.30
  6. Step 6: Final answer
    x = 46,749.45

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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.