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Finding the Fourth Proportional to 202,043.76, 278,881.56 and 117,181.68

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Solution

The fourth proportional to 202,043.76, 278,881.56 and 117,181.68 is: 161,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,043.76 : 278,881.56 = 117,181.68 : x
  2. Step 2: Convert to fraction form
    202,043.76/278,881.56 = 117,181.68/x
  3. Step 3: Cross multiply
    202,043.76x = 278,881.56 × 117,181.68
  4. Step 4: Simplify right side
    202,043.76x = 32,679,809,721.82
  5. Step 5: Solve for x
    x = 32,679,809,721.82/202,043.76
  6. Step 6: Final answer
    x = 161,746.20

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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.