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Finding the Fourth Proportional to 129,746, 194,619 and 31,250

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Solution

The fourth proportional to 129,746, 194,619 and 31,250 is: 46,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,746 : 194,619 = 31,250 : x
  2. Step 2: Convert to fraction form
    129,746/194,619 = 31,250/x
  3. Step 3: Cross multiply
    129,746x = 194,619 × 31,250
  4. Step 4: Simplify right side
    129,746x = 6,081,843,750
  5. Step 5: Solve for x
    x = 6,081,843,750/129,746
  6. Step 6: Final answer
    x = 46,875

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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.