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Finding the Fourth Proportional to 341,199.80, 511,905.89 and 101,314.96

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Solution

The fourth proportional to 341,199.80, 511,905.89 and 101,314.96 is: 152,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,199.80 : 511,905.89 = 101,314.96 : x
  2. Step 2: Convert to fraction form
    341,199.80/511,905.89 = 101,314.96/x
  3. Step 3: Cross multiply
    341,199.80x = 511,905.89 × 101,314.96
  4. Step 4: Simplify right side
    341,199.80x = 51,863,723,742.64
  5. Step 5: Solve for x
    x = 51,863,723,742.64/341,199.80
  6. Step 6: Final answer
    x = 152,003.97

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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.