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Finding the Fourth Proportional to 202,005.88, 278,770.01 and 111,365.10

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Solution

The fourth proportional to 202,005.88, 278,770.01 and 111,365.10 is: 153,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.88 : 278,770.01 = 111,365.10 : x
  2. Step 2: Convert to fraction form
    202,005.88/278,770.01 = 111,365.10/x
  3. Step 3: Cross multiply
    202,005.88x = 278,770.01 × 111,365.10
  4. Step 4: Simplify right side
    202,005.88x = 31,045,250,267.87
  5. Step 5: Solve for x
    x = 31,045,250,267.87/202,005.88
  6. Step 6: Final answer
    x = 153,684.88

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