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Finding the Fourth Proportional to 202,741, 279,782.52 and 110,860.52

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Solution

The fourth proportional to 202,741, 279,782.52 and 110,860.52 is: 152,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,741 : 279,782.52 = 110,860.52 : x
  2. Step 2: Convert to fraction form
    202,741/279,782.52 = 110,860.52/x
  3. Step 3: Cross multiply
    202,741x = 279,782.52 × 110,860.52
  4. Step 4: Simplify right side
    202,741x = 31,016,835,654.11
  5. Step 5: Solve for x
    x = 31,016,835,654.11/202,741
  6. Step 6: Final answer
    x = 152,987.48

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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.