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Finding the Fourth Proportional to 201,464.82, 278,030.88 and 116,565.48

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Solution

The fourth proportional to 201,464.82, 278,030.88 and 116,565.48 is: 160,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,464.82 : 278,030.88 = 116,565.48 : x
  2. Step 2: Convert to fraction form
    201,464.82/278,030.88 = 116,565.48/x
  3. Step 3: Cross multiply
    201,464.82x = 278,030.88 × 116,565.48
  4. Step 4: Simplify right side
    201,464.82x = 32,408,802,982.02
  5. Step 5: Solve for x
    x = 32,408,802,982.02/201,464.82
  6. Step 6: Final answer
    x = 160,865.82

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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.