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Finding the Fourth Proportional to 202,695.60, 304,043.40 and 165,831.60

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Solution

The fourth proportional to 202,695.60, 304,043.40 and 165,831.60 is: 248,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,695.60 : 304,043.40 = 165,831.60 : x
  2. Step 2: Convert to fraction form
    202,695.60/304,043.40 = 165,831.60/x
  3. Step 3: Cross multiply
    202,695.60x = 304,043.40 × 165,831.60
  4. Step 4: Simplify right side
    202,695.60x = 50,420,003,491.44
  5. Step 5: Solve for x
    x = 50,420,003,491.44/202,695.60
  6. Step 6: Final answer
    x = 248,747.40

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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.