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Finding the Fourth Proportional to 202,009.64, 278,756.91 and 117,132.17

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Solution

The fourth proportional to 202,009.64, 278,756.91 and 117,132.17 is: 161,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,009.64 : 278,756.91 = 117,132.17 : x
  2. Step 2: Convert to fraction form
    202,009.64/278,756.91 = 117,132.17/x
  3. Step 3: Cross multiply
    202,009.64x = 278,756.91 × 117,132.17
  4. Step 4: Simplify right side
    202,009.64x = 32,651,400,377.01
  5. Step 5: Solve for x
    x = 32,651,400,377.01/202,009.64
  6. Step 6: Final answer
    x = 161,632.89

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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.