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Finding the Fourth Proportional to 157,676.61, 217,560.43 and 100,295.04

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Solution

The fourth proportional to 157,676.61, 217,560.43 and 100,295.04 is: 138,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,676.61 : 217,560.43 = 100,295.04 : x
  2. Step 2: Convert to fraction form
    157,676.61/217,560.43 = 100,295.04/x
  3. Step 3: Cross multiply
    157,676.61x = 217,560.43 × 100,295.04
  4. Step 4: Simplify right side
    157,676.61x = 21,820,232,029.27
  5. Step 5: Solve for x
    x = 21,820,232,029.27/157,676.61
  6. Step 6: Final answer
    x = 138,385.98

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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.