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Finding the Fourth Proportional to 198,397.58, 273,790.64 and 107,755.32

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Solution

The fourth proportional to 198,397.58, 273,790.64 and 107,755.32 is: 148,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,397.58 : 273,790.64 = 107,755.32 : x
  2. Step 2: Convert to fraction form
    198,397.58/273,790.64 = 107,755.32/x
  3. Step 3: Cross multiply
    198,397.58x = 273,790.64 × 107,755.32
  4. Step 4: Simplify right side
    198,397.58x = 29,502,398,026.20
  5. Step 5: Solve for x
    x = 29,502,398,026.20/198,397.58
  6. Step 6: Final answer
    x = 148,703.42

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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.