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Finding the Fourth Proportional to 129,723, 194,586.12 and 46,617

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Solution

The fourth proportional to 129,723, 194,586.12 and 46,617 is: 69,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,723 : 194,586.12 = 46,617 : x
  2. Step 2: Convert to fraction form
    129,723/194,586.12 = 46,617/x
  3. Step 3: Cross multiply
    129,723x = 194,586.12 × 46,617
  4. Step 4: Simplify right side
    129,723x = 9,071,021,156.04
  5. Step 5: Solve for x
    x = 9,071,021,156.04/129,723
  6. Step 6: Final answer
    x = 69,926.08

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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.