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Finding the Fourth Proportional to 201,465.82, 278,032.26 and 116,566.48

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Solution

The fourth proportional to 201,465.82, 278,032.26 and 116,566.48 is: 160,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.82 : 278,032.26 = 116,566.48 : x
  2. Step 2: Convert to fraction form
    201,465.82/278,032.26 = 116,566.48/x
  3. Step 3: Cross multiply
    201,465.82x = 278,032.26 × 116,566.48
  4. Step 4: Simplify right side
    201,465.82x = 32,409,241,874.64
  5. Step 5: Solve for x
    x = 32,409,241,874.64/201,465.82
  6. Step 6: Final answer
    x = 160,867.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.