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Finding the Fourth Proportional to 195,420, 293,130.24 and 47,676

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Solution

The fourth proportional to 195,420, 293,130.24 and 47,676 is: 71,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,420 : 293,130.24 = 47,676 : x
  2. Step 2: Convert to fraction form
    195,420/293,130.24 = 47,676/x
  3. Step 3: Cross multiply
    195,420x = 293,130.24 × 47,676
  4. Step 4: Simplify right side
    195,420x = 13,975,277,322.24
  5. Step 5: Solve for x
    x = 13,975,277,322.24/195,420
  6. Step 6: Final answer
    x = 71,514.06

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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.