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Finding the Fourth Proportional to 199,778.10, 275,702.14 and 114,895.22

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Solution

The fourth proportional to 199,778.10, 275,702.14 and 114,895.22 is: 158,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,778.10 : 275,702.14 = 114,895.22 : x
  2. Step 2: Convert to fraction form
    199,778.10/275,702.14 = 114,895.22/x
  3. Step 3: Cross multiply
    199,778.10x = 275,702.14 × 114,895.22
  4. Step 4: Simplify right side
    199,778.10x = 31,676,858,029.77
  5. Step 5: Solve for x
    x = 31,676,858,029.77/199,778.10
  6. Step 6: Final answer
    x = 158,560.21

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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.