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Finding the Fourth Proportional to 104,113.65, 143,676.66 and 56,367

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Solution

The fourth proportional to 104,113.65, 143,676.66 and 56,367 is: 77,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,113.65 : 143,676.66 = 56,367 : x
  2. Step 2: Convert to fraction form
    104,113.65/143,676.66 = 56,367/x
  3. Step 3: Cross multiply
    104,113.65x = 143,676.66 × 56,367
  4. Step 4: Simplify right side
    104,113.65x = 8,098,622,294.22
  5. Step 5: Solve for x
    x = 8,098,622,294.22/104,113.65
  6. Step 6: Final answer
    x = 77,786.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.