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Finding the Fourth Proportional to 201,813.75, 278,503.04 and 116,980.02

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Solution

The fourth proportional to 201,813.75, 278,503.04 and 116,980.02 is: 161,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.75 : 278,503.04 = 116,980.02 : x
  2. Step 2: Convert to fraction form
    201,813.75/278,503.04 = 116,980.02/x
  3. Step 3: Cross multiply
    201,813.75x = 278,503.04 × 116,980.02
  4. Step 4: Simplify right side
    201,813.75x = 32,579,291,481.71
  5. Step 5: Solve for x
    x = 32,579,291,481.71/201,813.75
  6. Step 6: Final answer
    x = 161,432.47

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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.