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Finding the Fourth Proportional to 202,032.98, 278,804.31 and 111,388.58

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Solution

The fourth proportional to 202,032.98, 278,804.31 and 111,388.58 is: 153,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.98 : 278,804.31 = 111,388.58 : x
  2. Step 2: Convert to fraction form
    202,032.98/278,804.31 = 111,388.58/x
  3. Step 3: Cross multiply
    202,032.98x = 278,804.31 × 111,388.58
  4. Step 4: Simplify right side
    202,032.98x = 31,055,616,188.78
  5. Step 5: Solve for x
    x = 31,055,616,188.78/202,032.98
  6. Step 6: Final answer
    x = 153,715.58

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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.