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Finding the Fourth Proportional to 202,396.77, 303,340.01 and 102,582.09

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Solution

The fourth proportional to 202,396.77, 303,340.01 and 102,582.09 is: 153,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,396.77 : 303,340.01 = 102,582.09 : x
  2. Step 2: Convert to fraction form
    202,396.77/303,340.01 = 102,582.09/x
  3. Step 3: Cross multiply
    202,396.77x = 303,340.01 × 102,582.09
  4. Step 4: Simplify right side
    202,396.77x = 31,117,251,693.51
  5. Step 5: Solve for x
    x = 31,117,251,693.51/202,396.77
  6. Step 6: Final answer
    x = 153,743.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.